Recent speculation have suggested that the former Manchester United youngster has become a transfer target of Real Madrid, among a host of other European clubs.
However, the 20-year-old has insisted that he is "really happy" playing for the Italian champions.
"I'm really happy in Turin," he told La Gazzetta dello Sport. "I love every aspect of this club - the executive directors, the manager, my teammates and the fans.
"At the moment I couldn't see myself anywhere else. The history, prestige and quality of this club is equal to the very best."
Pogba has made eight appearances for the Old Lady so far this term.