Glenn Turner made his first class debut for Otago against Canterbury at Carisbrook in 1964. He scored 126 runs that season averaging 14 per innings. He was a very slow scorer of runs at that stage. In one innings he scored 21 runs in 235 minutes. His second season of first class cricket in 1965-66, he finished second in the averages with 330 runs at an average of 47.14. In his third season of first class cricket for Otago in 1966-67, he scored 224 runs at an average of 22.4 per innings. Turner had trials with Warwickshire, Worcestershire, Lancashire, Middlesex, and Surrey and gained a contract with Worcestershire. He played two games for Worcestershire in 1967 and in the following season (1968) he played 25 first class games for them scoring 1182 runs at 28.82 with one century. He had a quieter 1969 season scoring only 502 runs and failing to score a century.