Anton Chico is a census-designated place in Guadalupe County, New Mexico, United States. Its population was 188 as of the 2010 census. Anton Chico has a post office with ZIP code 87711. New Mexico State Road 386 passes through the community.Anton Chico is located at 35°11′42″N 105°08′38″W / 35.194866°N 105.143895°W / 35.194866; -105.143895. According to the U.S. Census Bureau, the community has an area of 1.784 square miles, all of it land.