Zuke played for his hometown Sault Ste. Marie Greyhounds of the NOJHA earning First Team All-star recognition in 1972 before attending Michigan Tech where he again earned All Star berths in 1974, 1975, and 1976.
He was selected by the Indianapolis Racers in the 1974 WHA draft and was also selected by the St. Louis Blues in the 1974 NHL draft. He turned pro with Indianapolis during the 1976-77 season and was traded to the Edmonton Oilers prior to the start of the following season.
The lanky centreman signed with St. Louis prior to the beginning of the 1978-79 season and played with the Blues for five seasons where his scrappy play made him a fan favourite. He also saw time on both the power play and penalty killing units while with the Blues.
Hartford claimed him in the 1983 waiver draft and finished his NHL career with the Whalers in 1985-86 after the better part of three seasons with the club.