M'Vila is expected to leave the French club during the transfer window, although a decision on his future is not expected to be made until after Euro 2012, where he is part of Laurent Blanc's France squad.
The midfielder is likely to command a fee upwards of £17million and he admits he would be prepared to head to the Emirates Stadium.
"I have heard Arsenal are interested in me," M'Vila is quoted by the Daily Star Sunday.
"I like Arsenal and I like the Premier League.
"I don't know what is happening with the clubs, but yes, I would be interested in the Premier League and Arsenal."