Hamburg host the defending Bundesliga champions at the Imtech Arena after a week of turmoil that has seen Mirko Slomka sacked as coach.
Slomka was dismissed on Tuesday and replaced almost immediately by Zinnbauer, who had previously been coaching the club's Under-23 side.
Zinnbauer could not have a more difficult challenge for his first game at the helm than versus Pep Guardiola's title favourites and, with Hamburg having taken just one point from three matches, a heavy defeat will be expected by many.
"The result is secondary," Zinnbauer said. "There is currently no team that plays as dominant as Bayern.
"It's important that we present ourselves well, that we play as a unit."
Hamburg's dismal start to the campaign comes after they avoided relegation to the second tier in a play-off with Greuther Furth last term.
"This must motivate them to play in front of so many people," he added. "Better before 60,000 than 10.
"From now on we must hide our weaknesses and show our strengths.
"The team should be fired up for football."
