The show's title is a play on The Hunger Games.
Besides Felix (Thomas Lennon) and Oscar (Matthew Perry), Roy (David Foley) is the only character that was in all Odd Couple adaptations (play; original film The Odd Couple (1968); The Odd Couple (1970) and The Odd Couple (2015) television programs).
Lindsay Sloane (Emily) and Wendell Pierce (Teddy) previously worked together on Horrible Bosses (2011).