The 62-year-old left his job at Marseille after only one game last season, and parted ways with Lazio after just two days in charge prior to the start of the 2016/17 campaign.
However, the Argentine has insisted that he remains committed to Lille, who have picked up only five points from six games this season, and will not give up on turning their fortunes around.
“You ask me how, after resigning at OM [Marseille], I can say I’m not going to give up.
“I won’t leave here even if I have to battle to stay up all season. I say that to commit myself to putting up with everything I have to put up with.
“I know the suffering we feel when we lose. I fought for the Argentine national team during the side’s worst period. I’m a specialist at taking on difficult situations.”