The 30-year-old was frequently linked with a switch away from the Serie A champions after struggling for game time under current coach Antonio Conte.
The Italian scored nine goals in 27 league appearances in the title-winning campaign and, despite being overlooked for the league opener against Sampdoria, Quagliarella's representative has confirmed that he remains committed to the Old Lady.
"Fabio didn't want to leave Juventus," Bozzo told Tuttomercatoweb.
"He simply asked for more space in the side because he knows he can be of use. Antonio Conte has always believed in him.
"Quagliarella received a number of offers from Italy and abroad, but the club decided to keep him because he is part of the project and considered an important player.
"You have to accept the rotation policy when you are part of a great side."