Andrew William Smith (December 9, 1886 – September 6, 1959) was an American college football player and coach, athletics administrator, United States Army officer, and physician.

Smith grew up in Fredonia, Kansas and enrolled at the Homeopathic Medical School at the University of Michigan, receiving his degree in 1912.

[8][9] Upon his hiring, The Lancet-Clinic reported that the school had "procured the services of a 'medical coach'" who would "both teach the Throop students how to pay football and attend them in case of injury.

[13] Smith organized a Red Cross Medical Corps in California at the beginning of the United States' involvement in World War I.

Ranking as a lieutenant, he coached the 1918 Camp Greenleaf football team at Fort Oglethorpe until he was sent overseas in November 1918.