Zapata is a census-designated place in and the county seat of Zapata County, Texas, United States. The population was 5,383 at the 2020 census. As an unincorporated community, Zapata has no municipal government, but like all 254 Texas counties has four elected county commissioners chosen by single-member districts and a countywide …Zapata is a census-designated place in and the county seat of Zapata County, Texas, United States. The population was 5,383 at the 2020 census. As an unincorporated community, Zapata has no municipal government, but like all 254 Texas counties has four elected county commissioners chosen by single-member districts and a countywide elected administrative judge.