James Fitchie Cook (November 10, 1879 – June 17, 1949) was an American Major League Baseball player.

Cook played in the 1903 season with the Chicago Cubs.

He played the outfield and batted and threw right-handed.

Cook was born in Dundee, Illinois and died in St. Louis, Missouri.

This biographical article relating to an American baseball outfielder born in the 1870s is a stub.