Inter and Napoli have set their sights on the 25-year-old midfielder but will have to fight off other interested parties such as Everton, Newcastle and Liverpool.
Ayew’s current deal with Marseille is due to expire this summer.
RMC Sport report that the Ghanaian has not made any decisions on his future yet, and instead looks to leave the Ligue 1 giants to join a new club.
Newcastle, Everton and Liverpool are already said to have entered pre-contract talks with Ayew, according to RMC Sport.
The Ghanaian is a Marseille youth product, having integrated the first team in 2010.
Ayew, who was finalist of this year’s African Cup of Nations, made 142 appearance for Marseille and scored 37 goals.