Pliskova was beaten 7-6 (7-4) 6-3 by the Pat Cash-trained CoCo Vandeweghe to end her hopes of clinching a maiden grand slam title.
Pliskova raced to a 4-0 lead in the fourth-round match and closed the set in just 26 minutes after Brady double-faulted on set point.
Two days after he pushed a match ball to move to the next round, Pliskova has dominated its opponent as the fans continued to pour on the site of the stadium tennis Billie Jean King.
And history has a real chance of repeating itself after Vandeweghe secured a battling win to advance to a first semi-final at her home Slam. This last has defeated the Czech Lucie Safarova 6-4, 7-6 (2).
Qualifier Kaia Kanepi reached her first Grand Slam quarterfinal in over four years besting Russian 20-year-old Daria Kasatkina 6-4, 6-4. Kanepi is only the second player after being qualified of the modern era to be part of the last eight players competing in the global of the United States, after the American Barbara Gerken in 1981.
Women's No 4 Elina Svitolina meets No. 15 seed Madison Keys in the nightcap. If she will match last year's result at Flushing Meadows, Pliskova will keep the world No. 1 seat next Monday when the ranking will be updated.
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"She can definitely play better than she was playing today".
The success Vandeweghe thought would instantly be hers has taken longer than she imagined, but that didn't matter to her on Wednesday. "The other two were a little shaky", Pliskova said of her first few matches. "It's a process", she said, "but I couldn't wish for anything better".
This is easily the best American women's performance at this event since 2002, when five of the top eight were US players.
"It means the world to me to make the quarterfinals", Keys said. "I just don't care about this", she said. The tournament final on Saturday is guaranteed to have at least one American female in it, as two-time U.S. Open champion and No. 9 Venus Williams will face Sloane Stephens in Thursday's semifinals.
The win was Vandeweghe's second this year over the world's No. 1 player, in addition to topping Angelique Kerber in straight sets of the Australian Open. Keys had the opportunity to inflate this number to four in winning his duel against Svitolina, later Monday.
Nadal turned in his most powerful performance yet at this year's NY tournament to beat Dolgopolov on Monday (NZT Tuesday), and is now just one win away from a potential semifinal showdown with longtime rival Roger Federer.