A second round selection of the Calgary Flames, 37th overall at the 1986 NHL Entry Draft, Glynn played with the Flames, Minnesota North Stars, Edmonton Oilers, Ottawa Senators, Vancouver Canucks and Hartford Whalers during his NHL career before playing one season in the Deutsche Eishockey Liga (DEL) for Kölner Haie.
[2] Starting his professional career in 1987–88, Glynn made his NHL debut on October 8, 1987, and scored a goal against goaltender Glen Hanlon of the Detroit Red Wings.
His play diminished in 1988–89, resulting in Glynn appearing in only nine games with the Flames and being demoted to the Salt Lake Golden Eagles of the International Hockey League (IHL).
[3] Glynn began the 1990–91 season with Salt Lake, but joined the Minnesota North Stars on October 26, 1990, after Calgary traded him in exchange for Frank Musil.
Glynn played a final professional season in 1997–98 in Germany, where he suited up for Kölner Haie of the Deutsche Eishockey Liga (DEL).