Pötzsch represented the GDR (East Germany) in the ladies events at international championships. Her first coach was Brigitte Schellhorn. After Pötzsch was admitted into a sports academy, Gabriele Seyfert was assigned as her coach and later, Seyfert's mother, Jutta Müller, took over coaching duties. She was the Olympic Champion in 1980 and world champion in 1978 and 1980. She also won the European title four times, from 1977 to 1980; and the East German title five times, from 1976 to 1980. In 1981, she announced her retirement, saying in 2011, "I had knee problems and I was not motivated because I had reached all my goals" but she said she later regretted her decision.
Pötzsch was a judge at international skating events in the late 1980s but the ISU banned her after she appeared in Skates of Gold shows and Katarina Witt's film, Carmen. The ISU restored her eligibility in 1994, along with that of professional skaters. In the 1990s, Pötzsch worked at a bank but quit her job in 1999 in order to coach. She coaches in Chemnitz, Germany, and in 2004 became an ISU technical specialist. Her students include Daniel Dotzauer, the 2010 German Championships bronze medalist, and Sandy Hoffmann.