James Edward Zinn (January 21, 1895 – February 26, 1991) was an American professional baseball pitcher.

He played all or part of four seasons in Major League Baseball (MLB) for the Philadelphia Athletics (1919), Pittsburgh Pirates (1920–22), and Cleveland Indians (1929).

After five seasons in the minor leagues, Zinn made his MLB debut on September 4, 1919 with the Philadelphia Athletics.

Between his stints with the Pirates and Indians, he spent 1923–28 pitching for the Kansas City Blues of the American Association, winning 20 games three times, including a 27-6 season in 1923.

After leaving the Indians, he joined the San Francisco Seals of the Pacific Coast League until 1935, winning 20 games twice more.