The retired midfielder believes the Uruguayan would prove to be a quality asset to the Bianconeri, while he reflected on the fall from grace experienced by former club Fiorentina
The Uruguay international, who is part of his country's Olympic squad, has been heavily linked with a move to Turin and has been the subject of an enquiry from Manchester City.
Juventus are also understood to be seeking clarification about Cavani's future, and the former Lazio and Fiorentina midfielder claims the Old Lady should sign the 25-year-old at all costs.
"If I were to think of a signing for Juventus, I would do anything to sign Cavani," Liverani told Sky Sport Italia.
"He is the perfect player for them."
Liverani, who played for Fiorentina between 2006 and 2008, then admitted that he is not surprised to read reports that Stevan Jovetic is likely to leave the Viola this summer.
"I do not know if he will stay at Fiorentina or not," the Genoa youth coach added.
"When I was playing, everyone wanted to wear the club's shirt, but something must have changed."