Sneijder is at odds with Inter after rejecting the club's request that he take a salary cut in exchange for a contract extension and he has not played since September.
"We had a meeting with Galatasaray the other day which went well, now it's up to the player," said Inter Chairman Massimo Moratti.
"It simply comes down to whether he wants to stay or not.
"In any case he's within his rights to either continue with his great contract or to accept our terms, which we'd be happier about, or to move to another club. "We've left it up to him and we'll see what happens".
The 28-year-old, who has been strongly linked to Manchester United in the past, is reportedly not keen on moving to Turkey and is said to be hoping a Premier League side will make a bid for him before the end of the January transfer window.(ANSAmed).