Zverev was crowned Cologne Indoors champion last weekend and the US Open runner-up moved into the quarter-finals of the Cologne Championships on Wednesday.
The top seed beat Australian Millman 6-0 3-6 6-3, despite double-faulting 10 times, and has now won 11 of his last 12 matches on hard courts.
Sinner eases past Duckworth, Millman earns Zverev clash
Zverev saved six of the seven break points Millman earned and won 79 per cent of points behind his first serve, setting up a last-eight meeting with eighth seed Adrian Mannarino.
New week, same Sascha
— Tennis TV (@TennisTV) October 21, 2020
Mannarino was a 6-3 6-3 winner against Miomir Kecmanovic, while Alejandro Davidovich Fokina advanced to the quarter-finals following a 7-6 (7-3) 6-3 victory over Steve Johnson.
Felix Auger-Aliassime, beaten by Zverev in the final on Sunday, rallied past qualifier Egor Gerasimov 4-6 7-6 (7-2) 7-6 (7-4).
Pablo Carreno Busta slumped to a surprise defeat at the European Open in Antwerp, Ugo Humbert beating the second seed 5-7 6-3 6-4.
Frenchman Humbert was joined in the quarter-finals by Grigor Dimitrov, Alex De Minaur and Dan Evans, while Milos Raonic and Taylor Fritz progressed to the round of 16.
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