Country Club Hills is a city in Cook County, Illinois, United States. It is a suburb south of Chicago. The population was 16,775 at the 2020 cen…Country Club Hills is a city in Cook County, Illinois, United States. It is a suburb south of Chicago. The population was 16,775 at the 2020 census. 10,000 years ago, during a glacial period, there was a complex of moraines in this area, before modern times.