Leicester-born Heath made just eight appearances for the Foxes in the league, and one in the League Cup, scoring two goals along the way. He was an inside-forward and came through the City youth ranks, turning professional in November 1961 and making his debut in a home match against West Ham United a year later.

He shone for the reserves with a decent number of goals and played a part in City's attempt on the double in the 1962-63 campaign, leaving on a high by playing a part in City's League Cup success against Stoke City.

Hull City was Heath's next destination and he helped them to the Third Division title two years after joining. Two years later he made the short switch to Scunthorpe United and again aided another promotion campaign, this time from the bottom tier in 1972. He actually played alongside Kevin Keegan in a number of his matches for the Iron and scored 49 goals in a five-year spell before leaving for Lincoln City, where he finished his career.