Having admitted last month that a mid-season exit was a possibility Payet did nothing to distance himself from rumours when speaking to SFR Sport on Sunday, saying: "I am not closing the door to anything."
However he admitted that he was intrigued by the changes going on at his former club Marseille, to which he maintains a great "attachment".
"Marseille have a new project which seems interesting," he added.
"Aside from that, we are obviously waiting to see the first few things that the new owners do, but Marseille knows how attached I am to the club.
"When I talk about it, I say the best possible things, because that is what I think, so why not."