The Sochaux full-back has emerged as one of Ligue 1's best young defenders this season, leading to links with the North London rivals.
However, the 22-year-old said that he is focused solely on Les Lionceaux's fight to stay in the French top flight.
"For now I am thinking about Sochaux and want to save the club from relegation," he told 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."
Corchia, who has won 26 caps for the French Under-21s, arrived at the Stade Auguste Bonal from Le Mans in June 2011.