Sharapova became a household name when she won the 2004 Wimbledon title as a 17-year-old, going on to claim a career Grand Slam with victories at the Australian Open, French Open and US Open over the next 10 years.
Sharapova, who won the last of her five Slams at Roland Garros in 2014, has endured a disappointing return to the majors since the end of her drugs ban in April of 2017. She added it with a hold in the fourth to take a 3-1 lead.
It was well deserved for the 30th seed, who next plays Madison Keys, as she drew the errors from the Sharapova racket - 38 unforced, including eight double faults - and used her flowing single-handed backhand to great effect.
There were also wins for 2017 runner-up Madison Keys, rising star Naomi Osaka and the unseeded Lesia Tsurenko as the quarter-final line-up was completed. "I've watched all of her matches in the US Open this year. I'm happy to beat her tonight", Suarez Navarro said.
Suarez-Navarro answered with an incredible ending to the fourth where she played the final rally chasing the ball against the 22nd seed before getting an edge on where her opponent was to get one over her and level the score again.
"I have to be ready", Suarez Navarro said about facing Keys, "and I think I am ready".
The Spaniard broke for 2-1, but Sharapova's worst service game was yet to come.
"Well, I'm not happy about that, but that's a rule". Millman will take on 13-time Grand Slam victor Novak Djokovic in the quarterfinals after the 6th seeded Serbian sailed past Joao Sousa of Portugal 6-3, 6-4, 6-3. I mean, she's one of the best.
Osaka reached her first Grand Slam quarter-final, tearfully admitting she was prepared to "break a leg" to win the match.
"I need to be aggressive, I am working on that, I need to try to be solid, run and fight". All three matches - two of which were played on hard court and one on grass - went to three sets, with their 2016 match at the Birmingham Classic a particularly memorable battle.
"I felt like I had a lot of chances to break her in the third set, then she would serve these really incredible serves".
The 14th-seeded American, looking to go one better than her runner-up finish at Flushing Meadows a year ago, relied on both her unsafe serve and powerful groundstrokes to deny Cibulkova any chance of an upset win.
"But I have the motivation and belief every day to continue".
In the two-hour 32-minute match, which featured 13 breaks of serve, Tsurenko committed 57 unforced errors while 19-year-old Vondrousova hit a huge 73.
"It's kind of nice to be under the radar", said the 14th seed, who will now face Suarez Navarro. I feel like there were moments that I kind of knew what to do. "Like a part of me knew it was coming, but at the same time I was always very unprepared", Osaka said. "Sometimes I felt like I was just not going for it enough", Cibulkova told reporters.