The Frenchman struggled for form during the second half of last season, which only increased speculation that he could be set for an exit from Manchester United.
And Dybala wants to see his former team-mate returning to Turin.
"With Paul I kept a good relationship even after his departure for England," he told TYC Sport.
"With him I was very good on the pitch, we had a lot of feeling, even outside the field we always felt very good.
"I feel that if he could come back, it will be very good for our friendship.
"We would stop making video calls and we would go back to training together.
"We always made new greetings, new ways to celebrate a goal, like when we touched each other with our finger after seeing Dragon Ball Z."