Dybala, 26, was enjoying a fine season before it was suspended due to the coronavirus pandemic, having been linked with a move from Turin last year.
The Argentina international is reportedly set to extend his stay at Juve, where he is contracted until 2022.
But Dybala said it would be nice to reunite with international teammate Lionel Messi at Barcelona.
"The truth is that Barcelona is huge team worldwide and with Messi there even bigger," he told CNN.
"If people see that there is racism and no action is taken, they get emboldened and continue doing it."— CNN International (@cnni) June 9, 2020
Footballer Paulo Dybala tells @cnnsport that "players will have to take measures into our own hands" if football authorities don't tackle racist abuse. https://t.co/Ckts088hvv pic.twitter.com/WleMMLBJBv
"It would be very nice, but Juventus is also an incredible club, very big, full of history, where there are currently great players.
"There's enough quality here to make two teams and the chance to play with [Gianluigi] Buffon and Cristiano Ronaldo, who make the club even bigger."
While a move to Barcelona could be of interest, Dybala has been reported to be close to an extension at Juventus.
But Dybala, who has scored 13 goals and provided seven assists in 34 games this season, said he was still waiting.
"For now there is nothing, really. I have a year and a half left on my contract, which is not much, and I understand that with all this that has happened [coronavirus] it isn't easy for the club, but other players have also renewed, so we are here waiting," he said.
"Obviously I am a player of this club and I am happy to be here. People love me very much and I love the people very much. I have great appreciation for the club and the people who are here, I have a good relationship with my president and surely at some point they will come to chat – or maybe not, I don't know.
"At some point maybe there may be some possible renewal, but it depends on Juventus."