Additionally, Caolan Loughran will face Ramon Taveras at bantamweight, while Shauna Bannon will meet Ravena Oliveira in a women’s 135-pound scrap. The Las Vegas-based promotion announced all three bookings on Wednesday.
UFC 304 takes place on July 27 in Manchester, England, and is headlined by a welterweight championship bout between Leon Edwards and Belal Muhammad. In the co-main event, Tom Aspinall will defend his interim heavyweight belt against Curtis Blaydes.
Parkin is undefeated in nine professional fights, a run that includes three Octagon appearances. Most recently, the Dana White's Contender Series alum outpointed Mohammed Usman at UFC on ESPN 53 on March 23. Parkin also owns UFC triumphs over Caio Machado and Jamal Pogues.
Brzeski, meanwhile, snapped a four-bout winless streak in his last outing, as he took a three-round verdict over Valter Walker at UFC Fight Night 240 on April 6.