Hap Myers played his major junior hockey in western Canada with the Edmonton Oil Kings and participated in two Memorial Cup championships with the club in 1965 and 1966. The team came up short of the title first time around but won the national amateur championship in 1966.
Myers remained in his hometown of Edmonton until the age of 21 when he joined the Fort Worth Wings of the CHL. In 1969-70 Myers was promoted to the AHL where he dressed for the Cleveland Barons where he was an effective defensive performer. The Buffalo Sabres claimed the rights to Myers from Detroit in the 1970 Reverse Draft and he was inserted into the team's lineup for 13 games during their inaugural campaign. However, Myers was a minus eleven and that sealed his fate with the Sabres, who gave him his release.
With no other NHL teams showing an interest, Myers played another three years in the minors with the Cincinnati Swords of the AHL, the affiliate to the Sabres, but realizing he was not likely to ever gain a spot in the NHL, opted to retire in 1974 at the age of 26 when the club disbanded due to the arrival of the Cincinnati Stingers who were joining the WHA. He was also a member of the 1972-73 Swords team that won the Calder Cup championship, guided by the coaching efforts of Floyd Smith.
