The 30-year-old striker most recently played at the Swiss club Servette.
He started his playing career in 2013 in Bordeaux and has also played in Bastia, Angers, İstanbul Başakşehir, Kaen, and Saint-Étienne.
Crivelli has also represented the France U-20 and U-21 football teams.
Sepahan parted ways with French forward Wissam Ben Yedder at the end of last season and Crivelli can be a replacement for his compatriot.