The Dutchman has consistently been linked with a move to Old Trafford this summer and he is seen as an ideal replacement for the recently-retired Paul Scholes.
"There is always a chance something will happen," said Sneijder. "I have played in many big competitions - in Holland, Spain and Italy - and I still am.
"What is going to happen we will see, but I am a happy guy."
The 27-year-old midfielder's wage at Inter, thought to be £250,000 per week, could yet prove a stumbling block to any move to United.
The Dutch international, who has previously played for Ajax and Real Madrid, has made 76 appearances for Holland.