Red Devils chief Sir Alex Ferguson has been heavily linked with a summer swoop for the 27-year-old Dutch international as he looks to fill the void left by Paul Scholes' retirement in his midfield for the new Premier League campaign.
And, after the Scot confirmed on United's pre-season tour of the United States that he was no longer in the race to sign Arsenal's Samir Nasri, it increased the speculation that a move for Sneijder would be imminent.
However, Branca has now move to dispel suggestions that United have approached them for the player, who is contracted to Inter until summer 2015, by insisting that no bids have been forthcoming and they would not welcome any.
Branca said on the club's official website: "No, there has not been an official offer and there has never been the intention to listen to them.
"Hence, the player is getting on with his work and so are we. There are no updates.
"It's not surprising that Sneijder is a player that is liked by many teams, including the strongest in the world like our team is.
"He is not for sale."