The 25-year-old Pole, who is ranked world No. 77 by the Women's Tennis Association (WTA), defeated China's Lin Zhu 6-2, 6-4 in their second-round clash in Nottingham on Wednesday.
Fręch will now take on the winner of a match between countrywoman Magda Linette and Britain's Jodie Burrage.
Linette and Burrage are set to face off against each other in the second round on Thursday.
The 2023 Nottingham Open, a warm-up event before Wimbledon, runs until Sunday.
(gs)
Source: IAR, PAP