With Crystal Palace potentially asking for as much as £70million for their right-back, United could turn to Belgium international Meunier for around £25million.
The PSG right-back has suggested he'd like to stay at the club, but adds that if the French champions want him to leave then United are one of the 'beautiful' clubs he could join.
“The club and management know, I would like to finish my contract at PSG or why not extend it?" he said.
“If this is done, so much the better and if that is not done, we will see what is possible and we will go elsewhere.
“At the level of rumours, I am quoted everywhere. Only beautiful clubs come out: Manchester United, Juve, Dortmund, these are just exceptional clubs."