He was born in Brooklyn, New York and attended Fordham University.
Sheerin played five seasons in the minor leagues, from 1933 to 1938. The teams he played on were: the York White Roses of the New York-Penn League (1933), the Atlanta Crackers of the Southern Association (1933-1934), the Tulsa Oilers of the Texas League (1935), the Hazelton Mountaineers of the New York-Penn League (1936), and the Toronto Maple Leafs of the International League (1938).
In the minor leagues, he appeared in 503 games and hit .248 in 1,774 at-bats. Sheerin's best season came in 1934 when he hit .288 for the Atlanta Crackers in 295 at-bats. Sheerin also posted a fielding percentage of .942 in the minor leagues. He did not play in 1937.

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