Altintop arrived on a Bosman in June from Bayern Munich.
But AS says a report in Vatan reveals Altintop has already made contact with Galatasaray coach Fatih Terim and wants to move there in January.
"I'm an important player and people have to see me do well," he is said to have told Terim in a phone conversation. "And I must feel it! Unfortunately, it is not perceived here (Madrid).
"This is not about playing more or less, it is that I must feel important.
"I do not know what will happen. First I want to see all the situations that happen here until January. But if something changes, I will go to Istanbul to play for Galatasaray."