The Frenchman says it was the English club who refused the transfer to occur.
"I signed a four-year contract with the club, and whoever wants to sign me has to go to [Sir Alex] Ferguson's office and deal with him directly," the 29-year-old said to Sky after the side's 3-1 aggregate win over Chelsea.
"Inter was very interested in me a year ago, as well as Real Madrid. With Inter, there was serious contacts, but United did not want to sell me."
Evra also believes if the Nerazzurri can score two early goals in their Champions League encounter against Schalke, they have a chance of progressing to the semi-finals of the competition.
"Inter have nothing to lose, as one can never say never in football," he added. "If they can score two quick goals, Schalke could be scared.
"The Germans did very well in Milan, and we were all surprised they scored five goals."
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