Parma Ohio Real Estate - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - The city of Parma is located in the southwest part of Cleveland, Ohio and the cities which surround it are Cleveland, Brooklyn, Brooklyn Heights, Seven Hills, North Royalton, Broadview Heights, Brook Park, Middleburg Heights, and Parma Heights.Parma was originally part of Parma Township, created in 1826. Some say the Name of Parma was taken from Parma, NY and others say it was a city in Italy. Parma was incorporated into a village in 1924 and a city in 1931. There is no shortage of things to do in Parma, including shopping at the Parmatown Mall, swimming at one of the pools, or playing at one of the parks, casual to fine dining, or taking in a movie.