John Peter "Jack" Heinzman (September 27, 1863 – November 10, 1914) was a professional baseball player.

Heinzman began his professional career in 1884 with the Harrisburg Olympics of the Eastern League.

[1] The next season, Heinzman played for the Macon, Georgia baseball club in the Southern League.

[1] In 1886, Heinzman played for the Macon club, the Class-B Chattanooga Lookouts, and the major league Louisville Colonels.

[2] Heinzman's last season in pro-baseball was 1889 with the Evansville Hoosiers of the Central Interstate League.