Varane admits he could sign for another club and be loaned back, which may yet see him joining either United or Bayern.
"We talked about a departure and it seems there is no hostility from the club, even if I remain under contract.
"Interest from Bayern or Man Utd? It is greatly flattering to hear those names, and I even ask myself if that is really about me.
"But I can't dream. I have to think about it and join a club that will allow me to improve.
"Remaining in Ligue 1 seems to be the more sensible choice. The most important thing to me is time spent on the pitch."