The 22-year-old, who joined Sochaux from Le Mans in 2011, is widely regarded as one of the most talented defenders in France.
"I am happy when I am being mentioned with prestigious clubs home and abroad. I am working hard to reach the top level and play in a bigger club than Sochaux, it is everyone's ambition to move to a big club," Corchia told reporters at a press conference.
"I am a big fan of the two leagues England and Germany, they are the best two leagues at the moment. At the end of the season, I will sit down with the club and see the next step."
Corchia has made more than 50 first-team appearances for Sochaux.