Burel, 20, a former world number one in the junior rankings who is coached by French former tennis star Thierry Champion, was playing in her first final on the WTA tour.
The 25-year-old is the first Czech to lift the Suzanne Lenglen Cup since Hana Mandlikova, who represented Czechoslovakia, triumphed in 1981.
Krejcikova won six games in a row to take the opening set after dropping serve in the first, before Pavlyuchenkova gained the upper hand in the second set.
Zidansek advanced 7-5, 4-6, 8-6 and will play Kazakh 21st seed Elena Rybakina or 31st-seeded Anastasia Pavlyuchenkova of Russia for a place in Saturday's final.