Parma is a city in Canyon County, Idaho, United States. The population was 1,983 at the 2010 census, up from 1,771 in 2000. It is the fourth …Parma is a city in Canyon County, Idaho, United States. The population was 1,983 at the 2010 census, up from 1,771 in 2000. It is the fourth largest city in the county and the largest in the rural western portion. It is part of the Boise City–Nampa, Idaho Metropolitan Statistical Area.