In order to avoid being arrested, Stu (Kumail Nanjiani) tells Vic (Dave Bautista) that a white police officer assaulting a brown person would be bad for publicity. Vic replies that he isn't white, and Stu makes multiple guesses about his ethnicity. In reality, Dave Bautista is part Filipino on his father's side.
After the shootout in the vet's office, white doves fly around the room. This is an homage/spoof of action director John Woo's movies, which are known to have moments where white doves fly around during big action scenes.
In the film, Dave Bautista "rescues" a Pitbull from drug dealers. In real life Bautista is a huge rescue advocate for that breed and owns Pitbulls himself.
First R-Rated Disney Film: Stuber was the first R-rated film distributed by Disney since acquiring 20th Century Fox, marking a significant shift in Disney's film portfolio.
Kumail Nanjiani gained 25 pounds of muscle for Eternals (2019) which was being filmed around the same time. This did not exactly suit his character in this film, however wardrobe managed to disguise the extent of his physical appearance through the choice of clothing and its relaxed fit.