The 27-year-old is one of several midfielders to have been linked with a transfer to Old Trafford this summer, as the Premier League champions look to recruit of a playmaker of some repute.
Marchisio, however, has rejected suggestions he would consider leaving Juventus - even for Manchester United - and is frustrated by constant speculation regarding his future in Turin.
"I am staying here. I am happy at Juventus, but the fact that rumours keep emerging around me every summer is starting to get on my nerves," he said, as reported by talkSPORT.
It has been a frustrating transfer window for the new Manchester United manager, who has failed to make a signing of note since he was appointed Sir Alex Ferguson's successor.
Only Guillermo Varela has been signed this summer, although the deal for the young Uruguayan was completed before Moyes officially began his duties as Manchester United boss.
The acquisition of reinforcements in midfield has been a priority for Moyes, but he has so far been unable to bring Thiago Alcantara or Cesc Fabregas to the club.