The 26-year-old Pole, who is ranked world No. 52 by the Women's Tennis Association (WTA), defeated Germany's Tatjana Maria 3-6, 6-3, 6-1 in their second-round clash in Nottingham on Thursday.
Fręch will now take on home favourite Katie Boulter for a place in the last four.
Fręch has also booked her spot in the quarterfinals of the Nottingham Open women's doubles, partnering with countrywoman Katarzyna Kawa.
Katarzyna Kawa. Photo: Darek Matyja/Polish Radio
The Poles are set to face the American-Chinese duo of Ashlyn Krueger and Zhang Shuai for a place in the semifinals of the grass-court tournament in Nottingham.
The 2024 Nottingham Open, a warm-up event before Wimbledon, runs until Sunday.
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Source: IAR, PAP