Sneijder has long been linked with a move to Old Trafford after leading Serie A giants Inter Milan to an historic treble back in 2010, but a transfer has never materialised.
"Sneijder received an indirect offer from Manchester United last summer but it was not accepted," Tulun revealed.
The 29-year-old Netherlands international also confirmed the rumours, stating: "There were clubs who wanted to sign me like Manchester United, but I have no intention of leaving and my club have no intention of letting me go.
"Leaving in January didn't even cross my mind and the club have never told me to leave. I feel at home here, and that's not something you feel everywhere you go."
But Galatasaray president Unal Aysal admits he would not stand in the Dutchman's way if the right offer came in.
"If Chelsea were to offer a deal worth over €15 million I would give Sneijder permission to leave if that's what he wanted," he declared.
Sneijder has made 35 appearances for Galatasaray in all competitions this season, scoring 13 times and racking up eight assists.
