Zetzsche is a German surname. Notable people with the surname include:
Anne Zetzsche, German skater
Eleonore Zetzsche, German actress
Hans-Jürgen Zetzsche, German navy officer
Jost Oliver Zetzsche, German translator
Karl Eduard Zetzsche, German mathematician
Manfred Zetzsche, German actor
Mónica Zetzsche, Argentinian woman, former President of the YWCA
Richard Zetzsche, German lawyer
Viola Zetzsche, German writer