Hinteregger has recently been linked with a move to the Premier League, with reports suggesting Arsenal and Liverpool are also watching the Austria Under 21 international.
Italian champions Juventus and Serie A rivals Lazio are also rumoured to be among the clubs who have been tracking the 21-year-old's progress.
The centre-half is flattered by reports of interest from United, but is in no rush to leave Salzburg after coming through the club's youth ranks.
"There is an interest from Manchester United and some big Italian clubs," Hinteregger was quoted by the Austria Press Agency.
"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.
"With my agent Frank Schreier, I need to consider if there are the conditions for a change and what prospects I would have with a move to a top team.
"I am not a dreamer and I know that these clubs have many interesting players who have no space to play."