A forehand victor offered another break to Milos at the start of the second set and he never looked back, serving well and moving 4-1 up when Sascha double faulted in game five, demolishing his racquet to receive a warning.
At the change of ends he destroyed his racket by smacking it into the court eight times, then tossing it away.
Raonic ultimately won six games on the spin to take the first set, converting three of his 12 break-point opportunities as Zverev sent down three double faults. 'I was very angry, so I let my anger out'.
He fought better in the third set where he saved two match points before the tie break but there was no way to stay in the encounter despite having the lead in the breaker.
Raonic dropped the opening game but then rebounded by winning the next eight.
"I played bad. The first two sets especially I played terrible", Zverev said. "I'm glad I could turn around that start pretty quickly". Against a quality player like him, it's tough to come back from that.
"For me, it's about being sharp, moving well, and being efficient with my serve and this kind of thing".
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There, Raonic did what he had done all match - he served well, and when forced to rally, he put the ball back in play and waited for Zverev to either make a mistake or to provide an opening so he could hit an easy victor.
Raonic, who sealed his fourth round win in just under two hours, plays Borna Coric or Lucas Pouille in the last eight in Melbourne.
Another win now and there's potential for Osaka to have a rematch of the U.S. Open final against Serena Williams.
The American, who is vying for an eighth Australian Open title and a record-tying 24th career Grand Slam, will face Karolina Pliskova in the quarterfinals as the Czech had eased past former world No. 1 Garbine Muguruza 6-3, 6-1 earlier in the day to advance. "You should watch my matches".
The second set was a complete disaster for Zverev as he was broken in the first game and things went further downhill from there.
"I was happy I could handle the pressure at 1-1 in the third set", Svitolina said. "I put in some of the best hours in a long period of time, maybe if ever", the 28-year-old said. "I don't think I looked over".