The 22-year-old is a product of France's Clairefontaine youth academy and has represented Les Bleus at every youth level from Under-17 upwards.
He joined Sochaux from Le Mans in the summer of 2011 and quickly established himself in the first-team, making more than 50 appearances for the Ligue 1 club.
His performances have attracted the interest of a number of European sides, including Lyon and Juventus.
However, it is North London duo Arsenal and Tottenham as well German giants Bayern Munich, who are believed to be leading the race to sign the full-back.
Corchia is aware of the reported interest in him and admits he would relish a move to a bigger club in the summer.
"I am happy when I am being mentioned with prestigious Clubs home and abroad," he said.
"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.
"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."