Both Arsenal and Tottenham have been linked with the French defender who is rated one of the best young full-backs in France.
Uncertainty surrounds the long-term future of Bacary Sagna and Arsene Wenger is keen to strengthen his backline during the summer.
Tottenham head coach Andre Villas-Boas is also keen to add more competition for Kyle Walker at right-back and will be hoping his team will be playing in the Champions League next season.
Corchia admits he is desperate to keep Sochaux in the top flight but says he is already dreaming of playing for a big club.
Corchia, speaking in French newspaper L'Equipe, said: "For now I am thinking about Sochaux and want to save the club from relegation.
"After that my dream is to go to a big club. We will wait and see what happens at the end of the season."