"I hope Muslera will stay with us for a long time to come, but if a very substantial offer comes, we will consider it," club president Unal Aysal is quoted by turkish-football.com.
The Turkish champions are now managed by former City boss Roberto Mancini and reports have suggested that the Italian is keen on signing City's Costel Pantilimon.
Meanwhile the 27 year old is open to the idea of a move to England, but admits any decision would be out of his hands.
"To play there is my childhood dream," he said. "Every player wants to play in England, but it is my club who will make the decision.
"I am happy here, I am a Galatasaray fan. Anyway, if a great offer comes at the end of the season, the president will decide."
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