Glenn, born in Vancouver, British Columbia, is a retired professional ice hockey Right winger in the National Hockey League who played for the Edmonton Oilers, Toronto Maple Leafs, New York Rangers, and St. Louis Blues.

Anderson was noted for his aggressive "to the net" playing style, typifying the NHL power forward in the early 1980s. As an NHL player, he scored 498 goals and 601 assists in 1129 regular season games, and added another 93 goals and 121 assists in 225 playoff games. Noted as a "clutch" player, he was able to score key goals when the team most needed them. He scored 5 playoff overtime goals, third only to Joe Sakic's 8 and Maurice Richard's 6. On top of that he had 17 playoff game winning goals, good for 5th in the all time history of the NHL.

On June 17, 2008 it was announced that Glenn would be inducted in the Hockey Hall Of Fame.