[2] Moeller graduated from Lima Senior High School in 1959, and afterwards attended Ohio State University.

[3] Moeller quit professional football during the 1964 training camp and entered the coaching ranks with Bellefontaine High School in Ohio.

[8] Schembechler had also been an assistant coach at Ohio State when Moeller was a player, and both were members of the FWAA 1961 National Championship team.

[15][16] After three seasons as offensive coordinator, Moeller was named Schembechler's successor as Michigan head coach in 1990.

In 1992, Moeller led the Wolverines to an undefeated 9–0–3 record, a conference championship, and a Rose Bowl win over Washington 38–31, finishing fifth in the national rankings.

[23] Moeller resigned in May 1995 after tapes were released of his alleged drunken outburst following an arrest on a charge of disorderly conduct at the now-defunct Excalibur restaurant in Southfield, Michigan, on April 28.

[31] He was given a contract for the remainder of the season and two additional years by owner William Clay Ford Sr., a move that seemingly guaranteed a future with the team.

After the team narrowly missed the playoffs (losing their final game on a last-second 54-yard field goal), ownership endorsed Moeller as the Lions head coach for the foreseeable future.

[33] In 2001, Moeller joined the Jacksonville Jaguars as defensive coordinator under head coach Tom Coughlin.