The striker failed to kick on after an excellent 2017/18 campaign and may now seek a departure from the Turin-based club.
The Argentine netted 22 goals in 33 Serie A games last season, but has seen far less action this time around.
Dybala’s alleged poor relationship with boss Max Allegri has been implicated as a reason behind his lack of playing time during this campaign.
His agent and brother refused to comment on that specific allegation, but his comments on the striker’s future will spark interest at Old Trafford.
According to the Mirror, United boss Ole Gunnar Solskjaer is prepared to sell Romelu Lukaku to fund a mega-money deal for Dybala, 25.
“There is a big chance that Paulo will leave Turin, he needs a change,” Gustavo Dybala told Radio Impacto show Futbolemico.
“I can’t say where he’ll go, but there is a strong chance Paulo will leave.
“He was very comfortable in Italy but he isn’t any more – like many other Juventus players.
“He is not the only one who will leave.”
The Argentine international has been linked with a move to Atletico Madrid to replace Antoine Griezmann, who is seemingly Barcelona-bound.
Dybala’s brother denied that last summer’s arrival of Cristiano Ronaldo from Real Madrid cased any friction between the duo.
“Problem with Ronaldo? No, off the field there is no problem with Cristiano,” he added.
“The problems are on the field: Paulo is young, he has to play.”
Former midfielder Claudio Marchisio is hopeful that Dybala will stay at Juventus, and that Allegri can fit both him and Ronaldo into a successful system.
“I often talk to Dybala, we are close friends,” the former Italy international said.
“He knows that he didn’t perform well this season, but that can happen to any great player.
“He is determined to bounce back, and I hope they find a way to play him alongside [Cristiano] Ronaldo, because he is insanely talented.”