Marseille are reportedly seeking a fee of €18million (£14m) for the 22-year-old, who has been linked with Arsenal, Manchester United and Barcelona in the past.
But according to the French and Italian media, it is Inter who are prepared to meet the Ligue 1 side’s demands.
The Ghana international claims to be happy at Marseille but admits he would relish a move if it was in the club’s best interests.
“I am looking forward to pre-season and seeing what will happen regarding my future,” said Ayew.
“Marseille is my home and I’m happy to be here. But if I have to leave to improve and the club get what they are looking for, who knows?
“Premier League, Spanish Liga or Serie A are all top leagues and to play there is to play against the best in Europe.”