Dybala has been linked with Barca in the past, where he would be reunited with Argentina teammate Lionel Messi.
He told CNN: "The truth is that Barcelona is a huge team around the world and with Messi there even bigger.
"It would have been very nice (to play there), but Juventus is also an incredible club. Very big, full of history, where there are fantastic players right now,.
"There is enough quality here to make two teams and the chance to play with (Gianluigi) Buffon and Cristiano Ronaldo, which makes the club even bigger."