The 20-year-old says that he hopes to aspire to the level touched by the legendary Frenchman during his career, while noting Andrea Pirlo as his modern-day hero
The France international has emerged as one of the continent's finest youngsters following a promising first season in Italy - which resulted in a Scudetto - after his move from Manchester United last summer.
Zidane won two league titles throughout a five-year spell with the Italian giants before departing for Real Madrid in 2001 and Pogba has revealed that he hopes to leave his mark on the club.
He told Corriere dello Sport: "I had a year with this club and am very happy because we won the Scudetto.
"I hope to become as big as Zidane, Lillian Thuram and Didier Deschamps but I have to work hard to reach their level."
Pogba, who won the Under-20s World Cup this summer, went on to cite Andrea Pirlo as the modern-day player whom whose example he hopes to follow.
"Certainly Pirlo!" he enthused. "I hope I can do what he is able to do one day."
The Frenchman, whose contract with the Italian giants runs until June 2016, featured 27 times last season for Antonio Conte's men, scoring five goals.