It has been suggested the Dutch international is moving closer to a transfer to Old Trafford this summer, as the Premier League champions seek to add creativity to their midfield following the retirement of Paul Scholes, and former Red Devils defender Gary Neville exclusively told Goal.com the player would flourish at his former club.
Sneijder, however, claims he is not aiming to leave San Siro before the start of the new season.
"I want to stay. I have great friends here like Javier Zanetti who kept us all together when morale was low [last season]," Sneijder told Vanity Fair magazine.
Spanish side Malaga have also been credited with an interest, but Sneijder would be disappointed if his current side were to sell him, though he accepts he may have to leave, should Inter wish to sell.
He added: "If the team decides to sell me then I would go where they say, but I would be unhappy [to leave].
"I am fine in Milan, and I would miss Inter, but this is football.
"When I was sold by Real Madrid to Inter I would have preferred to have stayed in Spain."
Earlier on Monday, Inter coach Gian Piero Gasperini appeared confident that the Netherlands international was staying at San Siro.