If he worked in New Mexico, he will have to file a New Mexico return. If you are a Nonresident, you must file for New Mexico if you have a federal filing requirement and have income from any New Mexico source whatsoever.
See Do I Need to File a Tax Return? to see if you need to file a federal return.
If he is single, he would only have to file an Arizona return if his income is over $12,950.
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