Bolton born left back Norman Greenhalgh started his career with his local club, Bolton Wanderers in September 1933, but failed to break through into the first team. In October 1935 he moved to New Brighton, where he made his Football League debut the next month at Southport. He suffered a bout of appendicitis and after making a full recovery, he re-discovered his form and was sold to Everton in January 1938 after 8 goals in 86 appearances. He made his Everton debut on 29th January 1938 and soon formed an effective partnership with Billy Cook. They helped Everton to the League Championship in 1939 before his career was interrupted by the Second World War.
Having already appeared for the Football League, he was selected to represent England in a wartime international against Scotland at Newcastle’s St James’ Park on 2nd December 1939. England won 2-1 with goals from Harry Clifton and Tommy Lawton. He played his last matches for Everton in September 1948, and having made a total of 118 appearances, scoring once, he moved to non-league Bangor City on a free transfer later in 1948.