Exactly there is no Labour Dept involement in the FZ. How did you a get a ban in the first place. Were you issued a Labour card not a ID card. If so maybe you your Visa and Labour permit was from a source out side the FZ ?
I know this can be quite a mess here not knowing. My brother overstayed 7 years !
on a JAFZ visa. Fearing Labour Dept complications and massive fine. Only after leaving realising there was no Labour Dept complications in the first place. He could changed or renewed his visa just by paying a small reduced visa overstay fine !!!