The Galatasaray star enjoyed a fine World Cup for Oranje, making six appearances as they finished third thanks to a 3-0 win over Brazil following their semi-final penalties exit at the hands of eventual runners-up Argentina.
New United manager Louis van Gaal, who was Sneijder's boss during the Brazil tournament, was reportedly interested in making a move for the creative playmaker.
However, Sneijder's agent has claimed that while there is plenty of post-World Cup interest in his client, the Red Devils are not one of the teams who are at the front of the queue.
The Daily Star quotes Guido Albers as saying: "There were many clubs interested but Manchester United did not make an offer. Many clubs have been in contact with me following the World Cup regarding Wesley Sneijder.
"However, Sneijder didn't want a move. Monaco made a bid but Sneijder wanted to stay at Galatasaray.
"As I have said before, he loves living in Istanbul and has settled into life in the city. He is not interested in any other offers."
The Old Trafford side have so far spent around £60 million on the signings of Luke Shaw and Ander Herrera and Van Gaal is reportedly looking at strengthening his defensive areas, following the departures of Nemanja Vidic and Rio Ferdinand.
"I have no more defenders so I have to pick a player [Darren Fletcher] who can do the job but he is not so suitable for this position," said Van Gaal after his side's 7-0 friendly win against LA Galaxy on Thursday.
A £16 million move for Borussia Dortmund centre-back Mats Hummels has been reported, and LVG is said to view the World Cup winner as an ideal addition to his backline for the coming season.