The 22-year-old defender is widely regarded as one of the brightest young prospects in Ligue 1 at the moment, and has been linked with a move to the Premier League.
Gunners boss Arsene Wenger has been credited with an interest in bringing Corchia to the Emirates Stadium this summer, but could face competition for the France U21 international's signature from north London rivals Tottenham.
Andre Villas-Boas is keen to provide further competition for Kyle Walker at White Hart Lane, and is believed to be monitoring the Sochaux star's progress in France, ahead of a proposed Spurs bid.
Corchia is concentrating on helping his side fight off the threat of relegation at the moment, but admits amid reported interest from Tottenham and Arsenal he is already dreaming of playing for a big club in the future.
"For now I am thinking about Sochaux and want to save the club from relegation," he told French newspaper, L'Equipe. "After that my dream is to go to a big club.
"We will wait and see what happens at the end of the season."
Kyle Naughton currently provides back-up to Walker at Spurs, while Bacary Sagna and Carl Jenkinson are Wenger's right-back options at Arsenal. But, with question marks surrounding the long-term future of Sagna at the Emirates, the Gunners might be regarded as slim favourites to sign Corchia.