|Date of birth||29 July 1986|
|Place of birth||Basel, Switzerland|
|Height||1.85 m (6 ft 1 in)|
|2005–2006||FC Basel U-21||50||(14)|
|2008–2009||→ Concordia (loan)||35||(1)|
|* Senior club appearances and goals counted for the domestic league only and correct as of 10 December 2013.
‡ National team caps and goals correct as of 18 July 2007
Baumann is a product of the FC Basel youth system and usually plays as a centre-back but has also been deployed at right-back or in midfield. He first came into the Basel team at the end of the 2006/07 season but played just one game during that campaign and one the following season, so he was loaned out to FC Concordia Basel in January 2008 for six months to gain first-team experience. He became an important player for Concordia, playing thirteen games and scoring one goal, during his time there. He returned to FC Basel in the summer but Concordia were keen to acquire his services for another season and Basel allowed him to move there on another six-month loan spell. He returned to Basel in the Summer of 2009 and joined on 2 September 2009 on trial to FC Schalke 04. He joined Servette FC in 2010 after spells with FC Solothurn and SC Kriens.
He was one of Servette's most used players during the 2010-11 Swiss Challenge League season. In the club's promotion/relegation play-off against AC Bellinzona, Baumann scored Servette's second and third goals as the club won 3-1, gaining promotion to the Swiss Super League. After a promising start in the top flight in the 2011-12 season, Baumann severely injured his knee in a match against FC Lucerne, and missed the rest of the season.
In January 2016 Servette FC announced that they were re-signing Patrick Baumann. He initially signed on a 6-months contact with an option for 2 more seasons as well as integration into the academy.