Blanc was cleared of any wrongdoing in a twin inquiry by the Sports Ministry and the French football federation, who renewed their confidence in the former World Cup winner on Thursday.
The experience, however, left a deep wound.
"I coped with it pretty badly," Blanc told French TV channel TF1 on Friday. "(Quitting) crossed my mind. I did not become the national coach to experience this kind of situation."
"But quitting would not have been a good decision. The desire to continue eventually regained the upper hand," Blanc, who won the 1998 World Cup in a team dubbed 'Black, Blanc, Beur' (Black, White, Arab) by French media, added.
"I wish to apologise again for what I said," said Blanc, who during the meeting said he was "in favour" of quotas to limit the number of black and Arab players in youth academies.
"This meeting went off at a tangent."
