"It's an important period for us. We had a score to settle with Bayern after the 2020 (Champions League) final (won by Bayern 1-0) and after they beat us earlier this season," captain Marquinhos said. "We want to win this competition."
PSG went ahead through Desire Doue, his first goal in the tournament.
"I try to help the team by scoring, but also with my efforts, notably defensively," Doue said.
PSG, seeking a quadruple of titles after winning the Champions League, French Cup and the Ligue 1 title, will face Borussia Dortmund or Real Madrid for a place in the final.
They will be without centre back Willian Pacho and defender Lucas Hernandez, who picked up straight red cards after Doue's opening goal.
"The first one is a clear red card," coach Luis Enrique said. "I'm not sure about the second one. We deserved the win but it was really really hard. Nothing special. Business as usual."