Croatian 13th seed Borna Coric defeated top seed and defending champion Roger Federer in straight sets at the Rolex Shanghai Masters on Saturday.
Edmund was bidding to reach his first Masters semi-final but a couple of forehand errors gifted Zverev a break in the opening game.
One player who will not be in the quarter-finals is Juan Martin del Potro.
"It was one of the best matches of my life", Coric said.
Rowe Price boosts stake on Tesla in vote of confidence for Musk
He resigned from the board of Sky this week, following Comcast's successful bid for the European satellite broadcaster. Musk retweeted the story to his 22.9 million Twitter followers, writing " Teslaquila coming soon".
He will play the Japanese eighth seed Kei Nishikori in the last eight, while Novak Djokovic and Alexander Zverev are also through, albeit with far less hassle.
Djokovic and Zverev met on clay in the final of the Rome Masters in May last year, the 21-year-old German winning 6-4, 6-3.
Djokovic did not face a break point en route to a 59-minute victory as he extended his winning streak to 17 ATP matches.
He is backing instead of the rival ATP World Team Cup, set to take place weeks later at the start of the 2020 season in Australia.
Google Home Hub vs Echo Show: Which Should You Buy?
You can get the new GE C-Life bulbs in a kit which includes a Google Home Mini and smart bulb for US$55 (RM228), already paired. It's created to get a device up and running and show a single app, which on the smart displays is the Google Smart Display app.
Coric, who said he nearly skipped the event because of neck pain, finished off Federer in style with the final two points being an ace and a sizzling forehand crosscourt victor.
Djokovic said that he was relishing facing "top player" Zverev after the 14-time Grand Slam champion beat Kevin Anderson 7-6 (7/1), 6-3. 'I always made Shanghai a priority', Federer said. This time even my family came, Mirka came here for the first time in ten years, she was really missing Shanghai I must tell you and now the kids for the first time.
Having needed three sets to get beyond Daniil Medvedev and Roberto Bautista Agut in his last two outings, Federer appeared in danger of needing a decider again when he trailed 4-1 in the second-set tie-break.
"I did everything I meant to do on my end", Djokovic said. He's bidding to win a record fourth Shanghai title this week.
China trade surplus with U.S. widens to record $34.1 billion
They are also promoting settlements in rubles and yuan, bypassing the United States dollar and other Western currencies. In an interview on Fox News on Thursday, President Trump praised his tariffs on Chinese imports.
A win on Sunday would deliver a fourth title for the season to Djokovic, beside Wimbledon and the US Open.