The sequence where Cleveland falls off the toilet and hits his head on the bathtub-- knocking himself out cold and pulling down the shower curtain in the process-- is a parody of the shower scene in "Psycho". The film's theme music also plays during the scene.
Cleveland says he'll mention his invention to his man Benson at the Governor's office, a reference to the television show "Benson", portrayed by Robert Guillaume, as the wise-cracking African-American butler to a Governor and his family.
Upon seeing the hospital interns, Cleveland shouts "I don't want no scrubs!" This is a reference to a line from the chorus of the hit TLC song "No Scrubs".