Earlier in the tournament, Begu defeated the likes of Diane Parry, Oceane Dodin and Marina Bassols Ribera.
Zimmerman and Bondar, seeded third in the competition, beat the top seeded team of Asia Muhammad and Alexa Guarachi in the semi-finals on Friday.
Lucia Bronzetti recorded a fantastic victory against fifth seed Caroline Garcia on Friday in the quarter-final.
Sorribes Tormo emerged victorious in her quarter-final match against seventh seed Anna Bondar on Friday by a score of 6-2, 6-3.
Anna Bondar and Sara Sorribes Tormo will take on each other on Friday, July 22 in the quarter-final of the 2022 WTA Palermo Open.
Garcia defeated Elisabetta Cocciaretto in the round of 16 by a score of 0-6, 6-3, 6-4 on to advance to this stage of the competition.
Nuria Parizzas-Diaz defeated Julia Grabher of Austria in the round of 16 of the competition by a score of 6-2, 6-4.
Irina-Camellia Begu and Diane Parry will take on each other on Friday, July 22 in the quarter-final of the 2022 WTA Palermo open.
Caroline Garcia v Elisabetta Cocciaretto will take on each other on Thursday, July 21 in the second round of the 2022 WTA Palermo open.
Nuria Parrizas Diaz v Julia Grabher will take on each other on Thursday, July 21 in the second round of the 2022 WTA Palermo open.