Sponsored Topics. Rotan (roh-TAN) is a city in Fisher County, Texas, United States. The population was 1,611 at the 2000 census. Rotan is located at 32°51′19″N 100°27′54″W / 32.85528°N 100.465°W / 32.85528; -100.465 (32.855232, -100.465072).