The Turkish side’s president has revealed that the club would consider selling the 27-year-old if a “substantial” offer arrives.
“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.
Muslera has become a key player at Galatasaray since joining the club from Lazio in 2011.
The goalkeeper has recently been strongly linked with a move to Premier League side Manchester City.