The Argentina striker's current deal expires in 2022 and doubts have been raised about his future at Juve after he wasn't called on for two games last week.
However, Dybala did start for Sunday's draw with Hellas Verona and Paratici is adamant he is in their long-term plans.
"There is a clear will to renew the contract on the part of Juventus and also of the player. We are speaking in a positive way although logically this is a very particular moment for everyone," said Paratici.
"In the last twenty days we have been in confinement in the hotel and we could not meet with anyone. But we will continue talking to reach a satisfactory solution."