In a career that spanned across five decades, Coury coached with distinction on the high school, college, and professional levels.

A 1951 University of Notre Dame graduate, Coury was not a football player, but served as a student assistant for head coach Frank Leahy.

After graduating from Notre Dame with a bachelor's degree in physical education, Coury enlisted in the U.S. Army where he, with a recommendation from Coach Leahy, became the backfield coach for the Camp Drake Bulldogs,[4] a football team composed of U.S. Army Soldiers stationed in Japan during the Korean War.

[8] After four seasons, Coury moved up to head the program, compiling a record of 85–9–5 from 1957 to 1965, winning seven Angelus League titles, three CIF-Southern Section championships along with one runner-up finish.

Coury had also held coaching positions with the Denver Broncos, Houston Oilers, Los Angeles Rams, Minnesota Vikings, New England Patriots, Philadelphia Eagles, Pittsburgh Steelers and San Diego Chargers in the National Football League.