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Former US Open champion Sloane Stephens triumphed against an inconsistent Karolina Pliskova 0-6, 6-4, 6-1 in one hour and 55 minutes.
The Argentine downed Ukrainian third seed Elina Svitolina 6-2, 6-4.
The 25-year-old is hoping to end a barren season on a high having failed to win a title since last year's WTA Finals triumph.
Baghdatis, who finished runner-up at the 2006 Australian Open, brought the curtain down on his career after losing in the second round at Wimbledon.
Serena Williams claimed her 100th win at the US Open in style, dismantling her quarterfinal opponent Wang Qiang 6-1, 6-0 in a blistering 44-minute performance.
Svitolina, who broke the psychological barrier of reaching a Grand Slam semifinal at Wimbledon in July, became the first Ukrainian to make the last four of the US Open with a 6-4, 6-4 win over Britain's Johanna Konta.
Holder Elina Svitolina will face world number one Ash Barty in the end-of-season WTA Finals showpiece on Sunday after they got past Belinda Bencic and Karolina Pliskova respectively in the semi-finals at Shenzhen Bay Sports Centre.
The Australian claimed a record-setting 4.42 million dollar paycheque - the largest sum ever awarded in men's and women's tennis.
Results 11-18
