Buffon was at fault for the concession of Francesco Caputo's goal in Juve's 2-2 draw with Sassuolo on Sunday.
The 41-year-old, who was making his fifth Serie A start of the season, let a tame shot squirm through his grasp following Matthijs de Ligt's panicked clearance.
23 - Juventus-Sassuolo is the match among the youngest goalkeeper, Stefano #Turati and the oldest, Gianluigi #Buffon, in the current Serie A campaign. There are 23 years of difference between them. Difference.#JuveSassuolo #SerieA— OptaPaolo (@OptaPaolo) December 1, 2019
Maurizio Sarri later absolved Buffon of blame and Paratici felt the Italy legend was deserving of more respect than he has received in some quarters.
"The criticism of Buffon bothers us a lot," Paratici told Sky Sport Italia.
"I always say that Buffon, [Leonardo] Bonucci, [Andrea] Barzagli and [Giorgio] Chiellini are the heroes we have had over the years. They are great people first and then great players. If they have bad days, which happens very rarely, it is proof they are human.
"Buffon is a great goalkeeper, the greatest in the history of football, and above all a great person."
The glaring mistake left Juve trailing early in the second half and a largely poor team performance did not improve until Paulo Dybala's introduction in the 53rd minute.
The Argentina international has been in excellent form in recent weeks and won the penalty from which Cristiano Ronaldo equalized.
Having seemingly been up for sale in the close season, Dybala is now making a case to be granted an improved deal at the Allianz Stadium.
"He is a great player, our number 10 and not by chance," Paratici said. "We are not talking about a renewal, but we will address the matter in due course."
Paratici confirmed outcast attacker Mario Mandzukic could leave the club in January but offered no insights into the futures of Merih Demiral, Daniele Rugani and Emre Can, who have also been linked with moves elsewhere.