Jungwirth began his career as a defender with his hometown club TSV Eintracht Karlsfeld when he was ten years old, before moving to TSV 1860 Munich, and progressing through the reserve team from age groups U-11 to U-19. He won the Deutsche Fußballmeisterschaft der B-Junioren with the U-17 team in 2006 and again in 2007 with the U-19s. Jungwirth became a member of the U-23 squad during the 2007-08 season, making his senior debut with a start on 15 September 2007 in a 3-0 victory at home against VfR Aalen. At the end of the 2009 season, he had made 48 appearances for the reserve side. He was named to the first team in the summer of 2008, but appeared only as an unused substitute eleven times during the 2008-09 season and was entirely unused for the first half of the 2009-10 season, before moving to Dynamo Dresden in January 2010.
Dynamo Dresden
Jungwirth made his debut in a 3. Fußball-Liga match during a 2-0 home win against Bayern Munich II. However, after making only eleven appearances for Dresden, he tore his cruciate ligament on 10 April 2010 during a match against FC Ingolstadt 04 and thus was sidelined until October. He helped Dresden win promotion to the 2. Bundesliga and stayed with the club, making 53 appearances over the next seasons, until his contract was up in 2013. Despite a desire to stay in Dresden, the club did not renew his contract.
Jungwirth joined SV Darmstadt 98, newly promoted from the third division, in time for the 2014-15 season. He helped the club get promoted yet again, this time to the Bundesliga, and made his Bundesliga debut on opening day of the 2015-16 season against Hannover 96. He was released in January 2017 after requesting a transfer to MLS several months in advance. However, Darmstadt coach and former MLS player Torsten Frings tried to block his move and criticized him heavily in the media after leaving him out of the squad in what ended up being a 6-1 defeat at home to 1. FC Köln. Jungwirth responded, "Sure, the coach can criticise my training performances in public. But whether that belongs on a news conference following a 6-1 defeat where I wasn't even in the squad is anyone's guess." His signing by the San Jose Earthquakes was announced several days later.
He has represented Germany at various youth levels, and was the captain of the team that won the 2008 UEFA Under-19 Championship, despite being ejected from the championship game prior to half-time on a second yellow card.
Personal life
Jungwirth is known for his animal welfare work and specifically his efforts aiding the rescue of dogs from Spanish kill shelters. He has also stated that he would never play in China, because of his opposition to the annual Yulin Dog Meat Festival and general treatment of dogs in the country. He married his wife Kathleen on 4 June 2016. As of February 27, 2018, Jungwirth holds a U.S. green card, qualifying him as a domestic player for MLS roster purposes.