The 29-year-old Williams is a 13-time major titlist, including a trio of US Open victories. She also posted a runner-up finish to her older sister Venus here in Flushing Meadow 10 years ago.
Serena is currently riding a 17-match overall winning streak, all on hardcourts, which includes titles in Stanford and Toronto.
Ninth-seeded Stosur beat Zvonareva for an eighth straight time, as the Aussie posted a comprehensive 6-3, 6-3 victory in 67 minutes.
Stosur fired 25 winners, compared to only nine for the Russian. The Australian converted three of four break points, while Zvonareva was unable to get even a break point.
"When you're playing well, it just kind of flows," said Stosur. "You step up to the line and you play the next point and the next one and the next one. Happy to close it out in straight sets."
Stosur was last year's French Open runner-up, while Zvonareva lost in last year's US Open and Wimbledon finals.
The 27-year-old Stosur will now appear in her third career Grand Slam semifinal and her first-ever US Open semi.
She'll play against upstart 92nd-ranked German Angelique Kerber on Saturday.
The 23-year-old left-handed Kerber will appear in her first career Grand Slam semifinal after upending 26th-seeded Italian Flavia Pennetta 6-4, 4-6, 6-3.
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2020-09-15
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