In the last 16, she faced Maria Sharapova in what looked a tough match on paper, but ended in a comfortable 6-4 6-3 Suarez Navarro victory.
Osaka is through to a grand slam quarter-final for the first time, after battling past fellow in-form 20-year-old Aryna Sabalenka in a fascinating encounter on Louis Armstrong Stadium.
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. With her most potent weapon not firing, Sharapova succumbed in one hour and 31 minutes under the floodlights at the Arthur Ashe Stadium, allowing 30th seed Suarez Navarro to record just her second career victory over the Russian in six attempts.
"I know that she never lost on night session because last night I saw her match a little bit, and they put it on the TV. This is the way that I can play really good tennis", Suarez Navarro said.
"It was a really good present for me", said the Spaniard. "I'm happy with the way I play tonight". Suarez, who turned 30 on Monday, is playing her eleventh US Open and made it to the quarter-finals for the second time after her first quarter-final in 2013, reports EFE news agency. An emotional Osaka wiped tears from her eyes in an on-court interview, thanking the crowd and saying she would not have forgiven herself had she lost. "I hesitated to move forward", Sharapova said.
American 14th seed Keys, who was defeated by compatriot Sloane Stephens in the 2017 championship match, fired 25 winners to Cibulkova's seven. She also surprised Stevens with more drop shots when compared to their previous matchups.
The Russian, playing her fourth straight round-16 match in NY, the seventh in 12 attempts, her lowest success rate for reaching the second week out of all four Grand Slams, looked often fearful and out of position when she tried to clinch the point at the net. "No, it wasn't, unfortunately", the unseeded Tsurenko said. "Those are all the things that I think we all know going into a match-up against someone like Carla".
An injured Lesia Tsurenko came back to beat 19-year-old Czech Marketa Vondrousova, the youngest and only teenager remained in the draw, 6-7 7-5 6-2 to become the third Ukrainian woman to reach a Slam quarterfinal, along with Svitolina and Kateryna Bondarenko.
"It's no secret that Serena is my favourite", she said. I felt like when I had a chance to go for it, I just made mistakes because I was rushing.
Madison Keys returned to the U.S. Open quarterfinals with a 6-1, 6-3 victory over No. 29 seed Dominika Cibulkova of Slovakia.
Kei Nishikori will be hoping to make another deep run at his most successful Grand Slam event after he easily outclassed Philipp Kohlschreiber 6-3, 6-2, 7-5 to reach the quarter-finals.