There is no verse, which gives clear sanction to pedophilia, instead there are some verses, which clearly allows the practice.
Here is a clear of explanation to how pedophilia is allowed in the quran, followed by how muslums deny it. you will recognize that some of the arguments in these denials have been repeated over and over by a forumer here, but he has been exposed many times, by FD and EH.
The Quran has stipulated a waiting period for divorced women to get remarried. This waiting period is called Iddah as mentioned in the Quran. But there is an exception; Allah, the God of the Quran, prescribes no Iddah for a category of divorced women:
O ye who believe! If ye wed believing women and divorce them before ye have touched them, then there is no period that ye should reckon. But content them and release them handsomely.
[Quran. 33:49]
From this verses, it is understood that Iddah (stipulated waiting period) is tied to consummation of the marriage. If a woman is divorced by her husband before touching her, i.e. before having sex with her, she need not observe any waiting period to get remarried.
Clearly the reasons for Allah to stipulate Iddah is to avoid chances of pregnancy as a result of sexual relations between the married couple before their divorce.
In cases of divorces, where the husband had sex with the wife, the Quran specifies the Iddah, a waiting period of three months, in verse 65:4:
Such of your women as have passed the age of monthly courses, for them the prescribed period, if ye have any doubts, is three months, and for those who have no courses (it is the same): for those who carry (life within their wombs), their period is until they deliver their burdens: and for those who fear Allah, He will make their path easy.
Here, Iddah is prescribed to two categories of women. First it says: “Yaisna mina al-maheedhi”—that is, “those women who are desperate of menses”. This indicates women, who reached the stage of menstruation but do not menstruate. The other category are those, who have reached menopause. Desperate of menses points to women, who, though reached the age, fail to menstruate. Their Iddah period is three months. This is prescribed probably to take maximum precaution about her being pregnant. Next, there comes “Wallaee Lam yahidhna”—that is, “those who have not menstruated yet”; this group of women are prepubescent girls, who have not menstruated yet. Here, the Iddah prescribed for them is the same: three months.
[I would urge readers to take particular attention on the phrase “Wallaee Lam Yahidhna”; because, it is going to be most important in this article.]
Let us sum up the two verses: a woman, divorced before sex, need not observe any Iddah at all [33:49].
But what is the reason for the prescribed Iddah for girls, who haven’t menstruated yet?
It is, obviously, because sexual intercourse has occurred between the child and her husband. It is, thus, clear that marrying prepubescent girls and having sex with them is sanctioned by the Quran.
Muslim Denials
Quranic verses with such obvious sanction of pedophilia is not enough to convinced some Muslims that pedophilia is permitted in Islam. They like to assign a different meaning and interpretation to the phrase “Lam Yahidhna” (“Not menstruated yet”) in verses 65:4. Some Muslims argue that this phrase only refers to women, who have reached the age of puberty, but fail to have courses. This is the main argument. But it holds little water, because the group of women, who have reached the age of puberty and do not menstruate, is covered in the verse in phrase: ”Yaisna min al-Maheedhi”—i.e. desperate for menstruation. Two categories of women can be desperate of menses:
1. Women, who have reached menopause, and
2. Women, who have reached the stage of puberty but do not menstruate.
Women, who have reached the stage of menstruation but fail to have menstrual courses, have been covered in the phrase “Yaisna Min al-Maheedhi”. The phrase under trial here is “Lam Yahidhna”, which comes next to it. It is a simple logic that a group of women, already covered in the earlier phrase, need not be repeated or covered again in next phrase. The Quran is the words of almighty Allah; it is not a matter of joke.
The secondly argument that comes from such Muslims is word “Nisa” in verse 65:4. They argue that “Nisa” means women; so the verse does not refer to prepubescent girls, but mature women. But this is an utterly lame excuse, which can be refuted using the same Quran. See some verses from Quran where we find the word “Nisa”:
And [remember the time] when we saved you from Pharaoh's people, who afflicted you with cruel suffering, slaughtering your sons and sparing [only] your women - which was an awesome trial from your Sustainer;
(Waith najjaynakum min ali firawna yasoomoonakum sooa alAAathabi yuthabbihoona abnaakum wayastahyoona Nisaakum wafee thalikum balaon min rabbikum AAatheemun) [Quran. 2:49]
Said the chiefs of Pharaoh's people: "Wilt thou leave Moses and his people, to spread mischief in the land, and to abandon thee and thy gods?" He said: "Their male children will we slay; (only) their females will we save alive; and we have over them (power) irresistible."
(Waqala almalao min qawmi firawna atatharu moosa waqawmahu liyufsidoo fee alardi wayatharaka waalihataka qala sanuqattilu abnaahum wanastahyee Nisaahum wainna fawqahum qahiroona) [Quran 7:127]
And remember we rescued you from Pharaoh's people, who afflicted you with the worst of penalties, who slew your male children and saved alive your females: in that was a momentous trial from your Lord.
(Waith anjaynakum min ali firawna yasoomoonakum sooa alAAathabi yuqattiloona abnaakum wayastahyoona Nisaakum wafee thalikum balaon min rabbikum AAatheemun) [Quran 7: 141]
Remember! Moses said to his people: "Call to mind the favour of Allah to you when He delivered you from the people of Pharaoh: they set you hard tasks and punishments, slaughtered your sons, and let your females live: therein was a tremendous trial from your Lord.
(Waith qala moosa liqawmihi othkuroo niAAmata Allahi AAalaykum ith anjakum min ali firawna yasoomoonakum sooa alAAathabi wayuthabbihoona abnaakum wayastahyoona Nisaakum wafee thalikum balaon min rabbikum AAatheemun) [Quran 14:6]
And when he brought them the Truth from Our presence, they said: Slay the sons of those who believe with him, and spare their females. But the plot of disbelievers is in naught but error.
(Falamma jaahum bialhaqqi min AAindina qaloo oqtuloo abnaa allatheena amanoo maAAahu waistahyoo Nisaahum wama kaydu alkafireena illa fee dalalin) [Quran 40:25]
In these verses, the word “NISA” is used to signify “Female infants”; it's use is not restricted to refer to mature women. To get the picture right, it is necessary to quote from the Old Testament, because these verses are replicas of story depicted in Exodus:
And the king of Egypt spoke to the Hebrew midwives, of whom the name of the one was Shiphrah, and the name of the other Puah; and he said: 'When ye do the office of a midwife to the Hebrew women, ye shall look upon the birth-stool: if it be a son, then ye shall kill him; but if it be a daughter, then she shall live.' [Exodus, 1:15-16]
And Pharaoh charged all his people, saying: 'Every son that is born ye shall cast into the river, and every daughter ye shall save alive. [Exodus, 1:22]
The story of Israelites under Pharaoh and his command to kill all male infants but let female newborns alive..! If we check all those Quranic verses, NISA is obviously used to signify female infants. So, “NISA” simply means females of all ages, according to the Quran.