Griezmann turned down a move to United last summer out of loyalty to Atletico.
The Frenchman chose to stay with Atletico as their transfer ban prevented them from buying a replacement. However, with the suspension to be lifted from January 1, Griezmann is again being linked with a move away.
In a 'Yes/No' quiz with Telefoot, Griezmann was asked if Mourinho called him regularly.
"No," was his reply.
Asked if Marseille would be the team he'd return to France to play for, Griezmann said: "Yes".