There had been numerous newspaper reports in the past week claiming that the 27-year-old playmaker was on the verge of a £35m move to Old Trafford.
Inter technical director Marco Branca insisted on Wednesday that the Milanese club had not received any bids for the Dutch international, saying: "No, there's not been an official offer and there has never been the intention to listen to them.
"There are no updates. He is not for sale."
Sneijder had been touted as a replacement for long-serving Paul Scholes, who retired at the end of last season.
"Paul was a player of a lifetime. In his 20 years at the club, it is hard to pick out a bad game. He was such a consistent player for us," Ferguson said.
"I don't think we will find another Paul Scholes. But hopefully we can replace him. Maybe we will find a different type of player."
United have already spent around £53m this summer, signing David de Gea, Ashley Young and Phil Jones.