The team's earliest competitive success came in the Swiss Formula Ford 1800 Championship, which it won in its founding year through Hans Pfeuti and subsequently claimed titles again in 1995, 1996, 1997, 1998, and 2000. Marc Benz, one of the team's early standout drivers, won the German Formula Ford Championship title in 2000.
Jenzer pivoted to Formula Renault 2.0 machinery beginning in 2000 with its debut in the French Formula Renault Championship. Over the following years the team competed in multiple Formula Renault series. Marc Benz, Neel Jani, and Michael Ammermüller each finished as runner-up in the Eurocup Formula Renault 2.0 in 2001, 2002, and 2005 respectively. In the regional Formula Renault championships the team was more consistently dominant: Ryan Sharp won the German Formula Renault title in 2003, Dani Clos took the Italian Formula Renault Championship in 2006, and Pål Varhaug won it in 2008. The Swiss Formula Renault Championship yielded titles with Christopher Zanella in 2008, Nico Müller in 2009, and Zoël Amberg in 2010.
In the Formula Renault 3.5 Series, Neel Jani finished as runner-up in 2003 and Ryan Sharp repeated the result in 2004, but the team did not achieve race victories at that level and departed after two seasons.
Jenzer moved into the International Formula Master series in 2007 and won the 2009 championship with Fabio Leimer. The same year they left both Formula Renault and International Formula Masters to pursue two new opportunities from 2010: the Formula Abarth Italian Series and the GP3 Series.
In Formula Abarth, Patric Niederhauser delivered the team a clean sweep of drivers' and teams' titles in 2011. In the GP3 Series, Nico Müller's third-place finish in the 2010 Drivers' Championship stands as the team's best result in that competition. Niederhauser took two GP3 victories in 2012, but the team went four years without another win before Arjun Maini broke the drought with a sprint race victory at Barcelona in 2017.
Jenzer returned to Formula Renault 2.0 in 2013 for two seasons before shifting focus to the Italian Formula 4 Championship and ADAC Formula 4. When the GP3 Series was rebranded as the FIA Formula 3 Championship in 2019, Jenzer entered with a driver lineup headlined by Yuki Tsunoda — who would later reach Formula One — alongside Artem Petrov. For the 2018 GP3 season the team had fielded Tatiana Calderón, Juan Manuel Correa, and David Beckmann.
Over more than thirty years of operation, Jenzer Motorsport has built a reputation as a development pathway for junior drivers, particularly in Formula Renault and GP3-tier competitions. The team has operated on modest budgets relative to the elite outfits in each series, yet produced multiple national and international champions and helped launch careers that extended to the highest levels of single-seater racing. The team continues to compete in Italian F4 and Formula 4 CEZ.