The top seed fell to a 7-6 (7/1), 2-6, 6-3 loss to the 60th-ranked Munar.
The 21-year-old Zverev, who has won 10 ATP titles but only reached one Grand Slam quarter-final, also suffered early exits at Miami and Indian Wells in recent weeks -- to David Ferrer and Jan-Lennard Struff respectively.
Munar will next face Benoit Paire in the quarter-finals in Morocco.
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