The Dutch World Cup star has been linked with the Old Trafford giants in recent months but has so far stayed loyal to European champions Inter.
But now Sneijder, who claimed recently that his former San Siro boss Jose Mourinho wants to be Sir Alex Ferguson's eventual successor, has admitted that he too could end up in the North West.
He told the Daily Star Sunday: ''If somebody asks me if I will ever play for Manchester United, it's impossible for me to say no. How can you say that if the chance came you would not play for one of the biggest clubs in the world.
''I don't think there is any player in the world who could publically rule out ever playing for Manchester United, and if they did I would doubt they were telling the truth."
Sneijder has already played for some of Europe's very top clubs - Ajax, Real Madrid and now Inter.
And he clearly believes that joining the Red Devils would be the perfect destination when he does leave Serie A.
He added: ''The Premier League, in terms of top clubs, is the strongest in the world, and it would be nice to finish my career saying I have played at the very top in Spain, Italy, and England.
''There is not many who can say they have done that, and if that does happen for me I would only want it to be with Manchester United.''