Green attended Holmes Junior High School, where he first decided he wanted to play college basketball.

On August 11, 2017, he committed to play college basketball for Northern Iowa, where his father was a member of the coaching staff.

[4] Green was named Missouri Valley Conference Freshman of the Year, becoming the first Northern Iowa player to receive the honor since Seth Tuttle in 2012, as well as Third Team All-MVC.

[12] On December 13, 2020, Panthers head coach Ben Jacobson announced that Green would undergo hip surgery and miss the remainder of the 2020–21 season.

[13] The following season, Green returned and averaged 18.8 points, 3.7 rebounds, and 2.5 assists per game, culminating in his second selection as MVC Player of the Year.

[14] On April 20, 2022, Green entered the transfer portal while also declaring for the 2022 NBA draft and maintaining his college eligibility.

Kyle played NCAA Division III basketball for Hamline University before spending one season professionally in Denmark, where he also began his coaching career.