Zoecke 1989 professional tennis player and also won both the individual title as, on the side of Libor Pimek, the double title of the Challenger tournament in Rümikon in the same year. The following year, he won with Jens Wöhrmann the Challenger tournament in Munich, in the individual he was eliminated in the semifinals. In 1991, he won the title at the Challenger tournament in Taipei. In the following years he had to win semi-finals at several tournaments on the ATP World Tour and was 1994 in South Africa's Sun City his first and only ATP title. The following year, he won at the side of Joern Renzenbrink his only doubles tournament of the ATP World Tour. His highest placement on the tennis world ranking he reached in 1992 with position 48 in the singles and in 1996 with position 233 in doubles.
He was appointed by team captain Niki Pilic in the German Davis Cup team in 1992. His first game he played in February 1992 as a replacement for the injured Boris Becker in the Erstrundenbegegnung against Brazil. His five-set defeat in a marathon match over 5 hours and 20 minutes against Jaime Oncins followed the resignation of the German team. Two more times Zoecke was used as a substitute for Becker in the Davis Cup in September 1992, he won in the relegation round against Belgian Bart Wuyts clear in two sets. In February 1995, he lost during the Erstrundenbegegnung against Croatia the meaningless match against Goran Ivanisevic.
Since his retirement from active competition sport Zoecke passes in Rottach -Egern own training center. He also works as a co- commentator for tennis broadcasts of the television Euro Sport.