The defender, who has joined from Valencia in the winter window after agreeing a temporary deal last year, hopes that he can make Les Bleus' World Cup party this summer
The Valencia loanee was unveiled at a press conference in Milan on Friday, having completed his temporary switch until the end of the season with an option to make the deal permanent in the summer.
The Frenchman, who has 26 caps for his country, is focused on having a positive spell with the Rossoneri in a bid to be selected by Didier Deschamps for the World Cup.
"Should I play well here, I hope to go to the World Cup but you have to go step by step. Now I just think about Milan," he told reporters.
"It's a fantastic club with tradition. I just want to work a lot and repay the faith.
"Of course I think of the French national team. Milan is one of the most important clubs in the world and I think if I work hard and earn my place, of course I can aspire to the national side."
Milan have brought in the likes of Keisuke Honda and Rami on a budget this transfer window and club chief Adriano Galliani explained his preference for recruiting players in from overseas, rather than scouring Serie A.
"We monitored the situation in Europe [with Rami and Honda] and, as soon as we saw a glimmer of hope, we arrived first," he remarked. "There are many deals abroad. I would say that abroad is much more dynamic than the Italian scene."