Born in Bagno a Ripoli, the Province of Florence, Tuscany, Crocetti started his career at Florence club AC Fiorentina. Crocetti made his Serie A debut in the last round of 2001–02 Serie A, on 5 May, against Perugia. Crocetti was the starting forward. He was substituted by Filippo Fedeli at half time. At the end of season Fiorentina bankrupted.