The 32-year-old told Telefoot that his contract situation was "personal" despite the Red Devils' hope to extend his stay and looks set to be among several old hands reaching the end of their Old Trafford spells, with Monaco keen on re-signing their former left-back.
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"I did an interview in France and I said it was personal," he told MUTV when asked about his contract situation.
"I haven't seen what people are saying but the thing is, if someone wants to talk about my contract, which is ending after this year, they have to talk to Manchester United and with my agent.
"Me? I love this club so much."
Moyes had earlier heaped praise on the France international and labelled him a "great figure" and presence at the club since the Scot's arrival in place of Sir Alex Ferguson in July.