Career
Born in Vizzolo Predabissi, the Province of Milan, Lombardy, Cocuzza started his career at F.C. Internazionale Milano. Cocuzza scored 5 goals for Inter U-17 team in the first half of 2009-2010 season, which he scored 4 goals in a single game against Pavia. Parma
On 1 February 2013 Cocuzza was farmed to Gubbio.
In 2013-2014 season the loan was extended, which Cocuzza played for Gubbio in the first pre-season friendly along with other former Parma team-mate.
On 31 January 2014 Cocuzza and Mohamed Traoré left for South Tyrol, (German: Südtirol, Italian: Alto Adige) with Andrea Molinelli moved to Gubbio. On 8 July 2014 he was farmed to Renate.