Green skated four seasons at Clarkson University. He scored 58 goals and 58 assists in 118 games. During his senior season, he finished with 21 goals and 24 assists and helped the Clarkson Golden Knights reach the Frozen Four in 1991. Green played a key role in the game that clinched the Frozen Four berth, scoring on a power-play late for Clarkson's 4–3 victory over Lake Superior State. Green scored the final goal in Walker Arena history in a preliminary round playoff game against Wisconsin.
