This movie is set in Chicago, but was mostly shot in Italy.
Liza Minnelli was once asked in an interview what her worst picture was? She replied: "I think Burt (Reynolds) and I would both agree, Rent-a-Cop : Assistance à femme en danger (1987)."
Burt Reynolds was less than thrilled to be working on this film. He went on to say that by that stage of his career, he took whatever roles that came his way.
Because the crew was Italian mostly, they knew the movie was going to be dubbed in different languages. As such, they were not careful about being quiet, which had gotten Burt Reynolds very upset during filming.
Michael Rooker's voice is dubbed by a different actor.