Verratti was reportedly a target for United in the winter window, while the likes of Real Madrid, Fiorentina, Inter Milan and Juventus were also linked.
But Donato Di Campli has revealed that Verratti intends to stay in the French capital despite the transfer speculation.
"I can say that Marco will not leave PSG in January," said Di Campli as reported by French newspaper Le 10 Sport.
"For now, he is doing well in Paris and I do not think he can go like this. Even this summer. I do no think it will be a simple operation.
"Marco is the centre of the PSG project and I do not think the club wants to lose him."
Paris St Germain sit second in Ligue 1 behind Monaco on goal difference, and Verratti has made eight appearances in the league so far this term.
The 20-year-old Italy international joined the Parisian outfit last summer from Pescara, but has been linked with a return to Serie A.
United were also thought to be monitoring him closely with a view to a summer move, although David Moyes targeted alternative central midfield options instead.
A talkSPORT report last month claimed the Old Trafford side were still interested in the midfielder, but it appears Verratti's agent has now closed the door on any prospective transfer.