The forward found the net with a free kick in the second leg of the last-16 tie to give the Bianconeri a 1-0 win on the night, and a 2-1 victory on aggregate.
"Pirlo's got a golden foot! I need to train for many years if I'm going to be able to shoot like him," Pogba told Mediaset after the game.
"We're very happy. We still remember the 4-2 defeat here [in Serie A] and it was important for us to overturn that result. We said before the match that if we stuck to our usual game plan, the goal would eventually come."
The draw for the quarter-finals of the competition will take place on Friday.