He began his college career as a freshman member of the Bradley Braves; he subsequently transferred to Murray State, completing his eligibility under Head Coach Cal Luther.
While at Murray, he received his Bachelor of Science degree in Health and Physical Education and was a member of Sigma Chi fraternity.
He spent two seasons as Head Coach before moving across town to assume control of the University of New Orleans program.
Greene was hired by UNO when the school began intercollegiate varsity competition in 1969–70 season.
[3] Several hours after The Associated Press had named him the Southeastern Conference basketball coach of the year and the Mississippi state board had voted him a $7,500 raise, Greene announced he was leaving the job to become coach of his alma mater Murray State.
[6] Greene returned to his native Terre Haute in 1985 when he became head coach of the Indiana State Sycamores.
[12] He resigned following the 1999 season and former Murray State and Western Kentucky player Terry Birdsong took over.