The Daily Express says the French midfielder hinted that he is open to leaving the Rossoneri although he is likely to see out the rest of the season with the Italian giants.
Flamini has Premier League experience having spent four seasons at Arsenal and so would be an attractive option for a number of clubs.
In an interview with L'Equipe, Flamini said: "Right now I am at Milan and what counts is finishing the first half of the season in the best way possible. Marseille? For now I am here, then we'll see.
"In a career there can be difficult moments, but it's a marathon not a sprint and I have no intention of pulling back. I remain concentrated so I can prove the coach can count on me."