"Deathmatch Duck" is a parody of the Star Trek (1966) season 1 episode "Arena," wherein a third party forces Kirk into combat with the reptilian Gorn captain of a spacecraft the Enterprise was pursuing. In the Duck Dodgers (2003) episode, Taz plays a barbaric ship captain being pursued by Dodgers when a living planet called Masativo intervenes, forcing them into single combat with each other.
Duck Dodgers sings Taz's stomach version of "Old Folks at Home" in Deathmatch Duck.