Dybala is about to enter the final year of his contract with Juve after joining the club, where he has made 246 appearances for the Old Lady and is one shy of a century of goals, in 2015.
Speaking to Sky Sports News, Paratici said: "We talk to his agent every week, but we can't forget the moment we are all experiencing, even as a company.
"In September we went back to negativity and we haven't gotten out of it yet, we have to be careful with every move we make, and that's not just for football.
"Nobody can decide now what to do for the next one, two, three years. We must be very careful."