Cole has kicked off his career in France impressively.
He told L'Equipe: "Will I remain at Lille next season? That is possible. They are happy with me, and vice versa, so why not?
"We have started to build a bridge. I really love to play here. I hope it will be a success for everyone.
"The Premier League is not the best competition, it is just different and unique. Some people told me I was right to go abroad."