Peter Baumgartner is a Swiss former footballer who played as a forward.
Baumgartner joined FC Basel's first team for their 1950–51 season under player-coach Ernst Hufschmid. Baumgartner made his domestic league debut for the club on 5 November 1950 as Basel lost 5–0 away to Locarno.
Baumgartner played one season for Basel. He played four games without scoring a goal. Three of these games were in the Nationalliga A and the other was the test game. The test match was against Bolton Wanderers on 22 May 1950 and Basel won by one goal to nil.