Crebassa grew up in Agde, and began her music studies there. She continued her music education at the music conservatory in Sète. At the conservatory in Montpellier, she studied musicology, voice and piano. Whilst at Montpellier, in 2008, she appeared in the Montpellier Opera production of Manfred. She attained greater recognition with a concert performance as Isabella Linton in a Festival de Radio France presentation, in Montpellier, of Bernard Herrmann's opera Wuthering Heights.
In 2010, Crebassa joined the Young Artist Program of the Opéra National de Paris. In 2012, she made her Salzburg Festival debut in its production of Handel's Tamerlano, as Irene. In 2014, she returned to the Salzburg Festival as one of the title role performers in Charlotte Salomon by Marc-André Dalbavie. In February 2017 at the Opéra Comique, she appeared in the company's production of the reconstructed work Fantasio by Jacques Offenbach.
Crebassa made her USA debut in May 2015 with the Chicago Symphony Orchestra. Her stage debut in the USA was with Lyric Opera of Chicago in February 2016, in Gounod's Roméo et Juliette as Stephano.
- Marie-Aude Roux (2014-07-26). "Marianne Crebassa, l'incandescence d'une voix". Le Monde. Retrieved 2017-08-16.
- Francis Carlin (2017-02-02). "Girl meets boy: Marianne Crebassa". Opera Now. Retrieved 2017-08-16.
- Zachary Woolfe (2014-08-12). "Salzburg Festival's Charlotte Salomon Falls Short on Drama". New York Times. Retrieved 2017-08-16.
- Guillaume Tion (16 February 2017). "Fantasio, Bouffon d'air pour L'Opéra-Comique". Libération. Retrieved 11 June 2017.
- Ketterson, Mark Thomas (August 2015). "L'Enfant et les Sortilèges (5/8/15) & Pelléas et Mélisande (5/15/15)". Opera News. 80 (2). Retrieved 2017-08-16.
- John von Rhein (2016-02-23). "Broadway Meets The Bard in Lyric's Roméo et Juliette". Chicago Tribune. Retrieved 2017-08-16.
- Richard Morrison (2017-08-04). "Proms 24 and 25 review: Philharmonia/Salonen and Monteverdi Choir/Gardiner at the Royal Albert Hall". The Times. Retrieved 2017-08-16.