The France midfielder has been linked with the likes of Real Madrid in recent months but his compatriot feels it would be foolish to leave a "club on the rise"Paul Pogba to resist advances from elsewhere and remain at Juventus.
The France international has established himself as one of the most impressive young midfielders in the world since joining the Bianconeri from Manchester United in the summer of 2012.
Consequently, he has reportedly caught the attention of the likes of Real Madrid and Paris Saint-Germain, but Juventus legend Trezeguet can see no reason why his compatriot would want to leave Turin.
"I have spoken very little with him," the 36-year-old told Gazzetta dello Sport. "But, for me, he should stay at Juventus. I would strongly advise him to do that.
"For someone like him, it is important to stay. He's playing and Juventus are a club on the rise. They will get even better."
Trezeguet is currently plying his trade in Argentina with Newell's Old Boys and the ex-France forward has revealed that he has already spoken with Juventus chairman Andrea Agnelli about taking on an ambassadorial role when he finally hangs up his boots.
"I think I could be able to help Juventus in South America," the Euro 2000 hero explained. "This club has a great image and is now growing with all these South American players that are doing very well.
"But it is a continent that they could exploit even better with and I could lend a hand to Juventus.
"I spoke with Andrea Agnelli about what possibilities there are for me. I could be a Juventus ambassador, but also something more.
"I did a sporting director course, which is endorsed by FIFA. I'm also doing the course as a coach, but I see my future more as a director or scout.
"I could travel around South America to assess talents or help Juve in other ways in the territory."