Goals from Brahim Diaz, Ante Rebic and Fikayo Tomori saw the Bianconeri lose for the sixth time in the top flight this season, slipping to fifth on the table, one point behind Napoli in fourth place, with three games to play.
Pressure is already mounting on Pirlo, with former Juventus manager Massimiliano Allegri linked with a return to the club.
Speaking to Sky Sports after the match, Pirlo said: “Resign? No, I won’t step aside. I took this role with a great deal of enthusiasm amid certain difficulties. I am at the disposal of the club, there are still three games to go, so I will continue doing my work as long as I am allowed to.
“I had a different project in my mind and thought I would have a different group at my disposal. I had been working on some concepts, but then I had to make changes in order to suit their characteristics and had to adapt.
“It’s not that this team is resistant to change, but if you have some things in your mind and they become more difficult with certain players. If I cannot get the best out of these players, that is my fault and I certainly need to do better.
“If something didn’t go right, I take responsibility. This squad is made up of great players, clearly something did not work.”
Pirlo’s contract with Juventus expires in the summer of 2022.