Italian

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late Middle English: from Italian italiano, from Italia ‘Italy’.

wiktionary

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From Medieval Latin Italiānus, from Italia(“Italy”)

etymonline

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Italian (n.)

early 15c., "native of Italy," from Italian Italiano, from Italia "Italy" (see Italy). Meaning "the Italian language" is late 14c. As an adjective from 1510s. Earlier the Italians were the Italies (late 14c.).