https://www.football-italia.net/138171/report-nedved-feud-allegri
According to the Corriere della Sera newspaper, it was Nedved along with sporting director Fabio Paratici who pushed for the club to part ways with their Coach.
Agnelli apparently wanted to continue working with the five-time Scudetto winner, but was forced into choosing between him and his vice chairman.
The Former Czech Republic midfielder reportedly felt that Allegri’s demands to revolutionise the squad were excessive and unnecessary, and evidently, that lack of support from the boardroom hastened the Coach’s departure.
Their differences became evident in a series of comments that Nedved made to the media, as after Allegri insisted the team needed a massive overhaul, the vice-president noted “this squad is very difficult to improve on the transfer market.”
Just a reminder that Allegri wanted a massive rebuild of the squad but Nedved was: "Nah, we top top, fam."