The 21-year-old Austrian has been linked with a move to the Premier League in the past, with Arsenal and Liverpool both reported to have monitored his progress.
"There is an interest from Manchester United and some big Italian clubs," the Austria Press Agency quotes Hinteregger as saying.
"I am honoured by it. Honestly, I did not think that it could happen so fast. My goal has always been to play with the Red Bulls, but of course such rumours are flattering."
Lazio and Juventus are the two Italian clubs who are believed to be keen on Hinteregger.