Slomka's assitant coaches Nestor Del Maestro, Zlatan Bajramovic, Ronny Teuber and Nikola Vidovic have also all been released by the club.
Club CEO Dietmar Beiersdorfer announced that Zinnbauer, who until now has been at the helm of HSV's U-23 side that have won all eight of their regional league matches so far, will be joined by Patrick Rahmen, Stefan Wächter and Carsten Schünemann as his assistants.
"Joe Zinnbauer has been tasked with bringing more emotion out of the team," said Beiersdorfer. "We have absolute faith in him and he has our full support." Zinnbauer will lead his first training session with the senior team on Wednesday.
'Want to get started
Zinnbauer himself cut a composed and confident figure in his first press conference as the club's new boss. "There's not really that much difference between the Bundesliga and the regional league, although it's obviously cooler to play in front of 50,000 fans rather than ten," he said. "I want to get started. I may pay for taking this job in the long run, but thats how it is."