Fritz Fischer was one of the most successful West German biathletes, competing in four consecutive Olympics from 1980 to 1992, winning one medal of each color in the relay (gold in 1992 with the re-unified German team, a silver in 1988, and a bronze in 1984 with the West German teams). At the World Championships, he won four medals in the biathlon relay from 1981-93, a gold (1991) and silver (1981), and three bronze medals (1985 and 1987). He also won gold in the team event in 1993 and silver in 1989. On his own, he won a bronze in 1989 in the 20 km biathlon event. In the World Cup he was the yearly champion in 1988 and runner-up in 1987.
Fischer later became a long-time assistant coach with the German’s men national team, and later ran a youth biathlon camp at Ruhpolding. His son Thomas Fischer participated in the 2014 Sochi Games in the ski-cross event.