Cuzzi was the Hajduk Split squad captain for several years, receiving the trophy when Hajduk won the 1967 Yugoslav Cup, which was also their first triumph in that competition.
After his playing career, he worked as a lawyer and later as a judge in the county court of Split. He was also a long time member of Hajduk's executive board as well as the president of its assembly from 1994 to 1996.