Harry "Fritz" Dorish (July 13, 1921 – December 31, 2000) was an American professional baseball player.

He was a United States Army veteran of World War II, where he served in the Pacific Theater of Operations.

For his big-league career, he compiled a 45–43 record in 323 appearances, mostly as a relief pitcher, with 48 saves, a 3.83 earned run average and 332 strikeouts.

Dorish led the American League in saves in 1952 as a member of the White Sox.

Dorish was a scout for the Red Sox, Houston Astros and Cleveland Indians, a minor-league manager, and the pitching coach for the Bosox (1963) and the Atlanta Braves (1968–71) after his 16-year (1941–42; 1946–59) playing career.