The 23-year-old has spent his entire career to date on the books at Stade Velodrome.
He insists he is in no rush to leave, but is ruling nothing out as the summer transfer window intensifies.
Ayew says there is interest in his services and has made it clear that the Premier League would be his preferred destination if a deal can be agreed.
He said in L'Equipe: "No offers at the moment? Who told you that no great clubs are interested me? Is the summer market already over?
"It is not my intention to leave Marseille. I am happy here. But if I say I want to leave, there will be offers.
"I have always loved England, but I am in no rush.
"You can dream of playing at a higher level, especially at my age, but the most important thing is to carry on improving and become a better player in your position."