Jasper Green played for Exeter City in a handful of games in 1921 before breaking a leg. He joined the club from Preston North End and later played for Bideford.

First turning professional with Preston North End in 1919, Jasper arrived at St James’ Park in June 1921 just as the Grecians were about to embark on a second season in the Football League. He played in the opening game of the season at Charlton Athletic but thereafter only featured sporadically before breaking a leg in his sixth league appearance for City at Watford in mid-December 1921. Not playing for the remainder of the season, he attempted a comeback in pre-season training but was advised that he would not regain full fitness. 

Keen to continue playing at a lower level, he briefly turned out for Bideford.