The "Coach" theme song was performed by the Iowa State University Cyclone Football "Varsity" Marching Band. The Iowa State band was the winner of a national contest for the right to play the piece for TV.
When set in Minnesota, the outside shots of the campus, stadium, and office were filmed at the University of Iowa. The name of the main character, Hayden Fox, was in reference to longtime Iowa football coach, Hayden Fry.
In the episode where Hayden and Christine go away for a weekend for marriage counseling, the exterior shots of where they stay is of the Waybury Inn in Vermont. This is another reference to Newhart (1982)--the inn was also the exterior for the Stratford Inn.
In the Pineapple Bowl, the Screaming Eagles play the Wranglers from Southern Texas (represented by a team with red W's on white helmets). In the Pioneer Bowl, the Screaming Eagles play a team from West Texas, also represented by red W's on white helmets. In both cases, the actual game footage was from University of Minnesota/University of Wisconsin football games played at the Metrodome.