Career
He is the brother of Michele Cossato. Cossato started his career at Serie Doctorate clubs, he then played for Valdagno at Serie C2 and Brescello at Serie C1. in mid-1997 he joined Chievo, which he played until 2008. During mid-2005, he made a transfer request, partially due to the rise of Amauri and Simone Tiribocchi.
He played 4 Serie A matches that season as the team have Amauri, Tiribocchi and Sergio Pellissier.
In 2006-2007 season, he club had Victor Obinna, Erjon Bogdani Cossato often played as substitute. In mid-2008 he left for Domegliara at Serie Doctorate. On 18 June 2012 Federico was banned from all football activities for 3 years and 6 months due to 2011-2012.