Fatezh took its name from a local stream; the etymology is uncertain, but it may be based on the given names Foty or Iosafat in diminutive form (place names in -ezh are common in the region).
Fatezh was named after a nearby brook; although its origins are unclear, it may be connected to local names like Foty or Iosafat in a diminutive form (place names ending in -ezh are common in this area).