He served as the head football coach at Loyola University of New Orleans from 1924 to 1925 and at Spring Hill College for five non-consecutive years between 1919 and 1933.

[4] Ducote attended Auburn University, where he played on the Tigers football team under Mike Donahue from 1915 to 1917, primarily in the backfield as a fullback or halfback due to his skill at drop kicking,[5] but also as a guard and end.

Rush published their choice for the "All-Time Auburn Football Team" in the Mobile Press-Register, which named Ducote as the fullback.

In the 1916 game against Georgia,[11] Ducote kicked a 40-yard field goal from placement off of captain Lucy Hairston's football helmet in the fourth quarter and in the mud, which proved the only points in the 3–0 Auburn victory.

Ducote leaps forward, kicks the ball from the top of the helmet and drives it straight as an arrow for Georgia's crossbar, over which it sails evenly between the posts.

Auburn's only points came when Ducote circled around end for 17 yards and lateraled to William Donahue, who ran down the sideline for a six-yard touchdown.

[16] Due to the First World War, Ducote played on the 1918 Cleveland Naval Reserve football team alongside Georgia Tech fullback Judy Harlan, which upset national champion Pittsburgh by a 10–9 score.

[18] Pittsburgh coach Pop Warner refused to acknowledge the loss, but declared Ducote "the greatest football player I ever saw".

[23] On January 9, 1926, he played as a member of the Southern All-Stars, which lost an exhibition game, 14–0, to the Red Grange-led Chicago Bears.

[29] Ducote spent one season at Louisiana State University as head coach for the basketball and baseball teams.

Later in the year, the Wolves held Oglethorpe, the eventual Southern Intercollegiate Athletic Association champions, to a 13–13 tie.

After losing four of their first five games, Loyola left the SIAA and put the previously disallowed players back into action, finishing with a 2–7 record.