The defender Dieter Zembski received his first professional contract in 1968 with Werder Bremen. In the season 1970/1971 he won the final regular place in the Werder - Eleven next to his experienced defensive partner Horst -Dieter Höttges. Germany coach Helmut Schön called him because of his excellent performances at the start of the next season in the squad of the German national soccer team. On September 8, 1971, he played against Mexico in Hanover, his only international match when he came on after half-time for Berti Vogts. Germany won the match 5-0. Shortly thereafter, conquered the young Paul Breitner is a regular place in the national team, which is why Zembski was no longer rely.
In 1975, Zembski to Eintracht Braunschweig, where he was after some initial difficulties also successfully won a regular place in defense. Here he finished in 1980 after the descent of Brunswick his professional career. Overall, it brought Dieter Zembski to 301 Bundesliga appearances and scored 4 goals.
Before and after his football career Dieter Zembski played with bands such as The Bremen Mushroams, BLAX and Happy Times on drums and guitar. In 1965, he joined with the Mushroams on in the famous TV show Beat-Club.