Assignments of the 32nd Wolfhounds
| Assignment | Date |
| 36th Pursuit Group (later 36th Fighter Group) | 1 February 1940 |
| Antilles Air Command | 3 August 1943 |
| XXVI Fighter Command | 13 March 1944 |
| 6th Fighter Wing | 25 August 1946 - 15 October 1946 |
| 36th Fighter Day Group | 8 September 1955 |
| 36th Fighter Day Wing (later 36th Tactical Fighter Wing) | 8 December 1957 |
| 86th Fighter-interceptor Wing (later 86th Air Division (Defense) | 8 April 1960 |
| Seventeenth Air Force | 1 November 1968 |
| 32nd Tactical Fighter Group | 16 November 1989 - 1 November 1991 |
| 32nd Fighter Group | 1 November 1991 - 1 July 1994 |
| 32nd Air Operations Group | 1 July 1994 - 1 November 2005 |