Murray began his career by playing for St Mirren in the 1962–63 Scottish Division One following his youth career at the Drumchapel Amateurs with his debut match being a 3–3 draw against Hibernian.

[1] Despite his initial success with the Buddies, during his brief stint with Motherwell, he would be relegated as a reserve as a sweeper before playing midfield within the senior team, making only nine appearances with a single goal for the 1972–73 Scottish Division One.

Murray would describe his career with Arbroath as being his favorite due to his teammates as well as the leadership of club manager Bert Henderson.

[3][4] Cammy was the younger brother of fellow Scottish footballer George Murray who primarily played for Motherwell and Aberdeen.

[5] Following his retirement from professional football as a player, he would briefly return to Motherwell as part of the non-playing staff.