A Tulsa native who played for Memorial High School, Green was not recruited by the major in-state programs like the University of Oklahoma or the University of Tulsa, where he had hoped to play. Instead, Green attended Oral Roberts University, also in Tulsa, and played for four years. As a junior, he averaged 20.8 points per game and 8.8 rebounds per game, while as a senior, he averaged 20.5 points per game and 9.3 rebounds per game. Even as a freshman, Green averaged more than thirty minutes a game, as he did for his entire college career. Green also led Oral Roberts to the NCAA tournament in his junior and senior seasons. For these accomplishments, he was named the Mid Continent Conference (now Summit League) player of the year in his sophomore, junior, and senior seasons. As a senior, he was also a Wooden Award finalist. In his senior season at Oral Roberts, Green led the nation in both free throws made and attempted. He finished his senior season as the NCAA's active scoring leader. Additionally, Green holds the Mid-Con Conference career scoring and rebounding records.
Green was not drafted by any NBA team and elected to play professionally overseas. He played one season for German club Trier averaging 17.9 points and 6.1 rebounds per game. Subsequently, Green signed with Dexia in the Belgian League. In his first season with Dexia, Green averaged 14.6 points and 6.2 rebounds per game while shooting 64.2 percent from the field. In 2009, he signed a one-year contract extension with the club, including a club-option for the 2010–2011 season. Since the 2009-2010 season he played for Basketball Club Oostende. In July 2011 he signed a one-year contract with Spirou Basket.