Mudra was also the head coach of the Montreal Alouettes of the Canadian Football League (CFL) for one season in 1966.

[4][5] In 1951, Mudra coached in Pop Warner football, leading his team to the national championship game.

He had a 32–4–1 (.878) record for the Adams State Indians football team and won the Rocky Mountain Athletic Conference championship in three consecutive years from 1960 to 1962.

[11] In 1962, Adams State defeated Northern Illinois University in the Mineral Water Bowl.

[16] In 1966, Mudra signed a three-year contract to coach the Montreal Alouettes of the Canadian Football League (CFL).

[18] The Alouettes made the CFL postseason, but lost to the Hamilton Tiger-Cats in the conference semi-finals.

[19] After one year, Mudra resigned from Montreal to accept the head coaching position for the University of Arizona.

The Leathernecks won the Illinois Intercollegiate Athletic Conference championship in the 1969 season,[11] and appeared in the 1973 NCAA Division II quarterfinals.

[22] The Seminoles finished the 1973 season 0–11 and coach Larry Jones resigned in disgrace with the NCAA putting Florida State on probation for one year.

Mudra's 1978 Eastern Illinois team went 12–2 and won the NCAA Division II Championship.

[11] Seeking to turn around another struggling program, Mudra resigned from Eastern Illinois in December 1982 to accept the head coaching position with the University of Northern Iowa, after they finished their previous season with a 4–6–1 record.

[14] In 1993, Mudra came out of retirement to coach a football team based in Florence, Italy.