The Netherlands international says that he had held talks with United manager Sir Alex Ferguson but the Italian club did not agree on a fee with the Red Devils.
"We had some talks with Alex Ferguson back in 2010," he told Galatasaray Dergisi.
"[United] contacted the [Inter] after our treble season but too much money was asked for. And I was also happy at Inter so I decided to stay.
"Manchester United are a fantastic club and they kept showing interest after that year but not as determined as before. I don't give much thought about proposed transfers. If I'm happy somewhere, I'm happy there."
Sneijder left Inter for Galatasaray in January.