Likely a variant of Itzel, meaning Star of the Aurora
Athziry is a modern name primarily used in Mexican-American communities. It is widely considered a creative phonetic variant of the Mayan name Itzel or the related Atziri, which is often associated with the 'moon princess' or 'star of the aurora' in Central American folklore.
Less common today
Athziry isn't in the latest US Top 1000. It last peaked at #4,996 in 2008.
US births per 5-year period, 1990βpresent (SSA data).