Mitchell was the 21st head college football coach for the University of Wichita (now Wichita State University) located in Wichita, Kansas and he held that position for two seasons, from 1953 until 1954. His overall coaching record at Wichita was 13 wins, 5 losses, and 1 ties. This ranks him 11th at Wichita State in terms of total wins and fourth at Wichita State in terms of winning percentage