Glatz began his career in 1980 racing in the German Formula Three Championship. The following year he drove in that series as well as the European Formula Three Championship and made his European Formula Two Championship debut. He competed in 10 Formula Two races in 1982 for Bertram Schäfer Racing but failed to score points, with a best finish of 8th. In 1983 again made 10 Formula Two starts, this time for Emco Sports but only succeeded in finishing twice and scored no points. In 1984 he returned to Emco Sports and finally broke into the points with a 6th place at Donington Park, with his single point good enough for 15th in the championship. Formula Two gave way to International Formula 3000 in 1985 and "Chauvet" only attempted two races with Oreca, failing to finish both races. In 1986 he drove in Formula 3000 nearly full-time for Jordan Racing but had a best finish of just 14th and he failed to qualify once. He also drove in two World Sports-Prototype Championship races for two different teams. Glatz was away from racing in 1987 but in 1988 returned to Formula 3000 at 45 years of age racing full-time for Racetech 3000. However, after 3 failures to qualify in 6 races, he left the team and went to Madgwick International. His best finish on the season was 12th, out of the points. He also made 3 World Sports-Prototype Championship starts. In 1989 he made one start in the inaugural season of British Formula 3000, which was good enough for 13th in points. He made a handful of sports car starts throughout the 1990s, mainly in Interserie.
In 2002 he was driving a 1996-vintage Arrows Footwork FA17 Formula One car in a EuroBOSS race at Autodrom Most when his car bounced over a curb and became airborne. Glatz died from his injuries.