Naan is an ancient Persian flatbread; the word itself is generic Persian for bread. The only dated textual evidence in the source is the Indo-Persian Sufi poet Amir Khusrau's memoirs, written in India in the 1300s AD, which is an early attestation of naan being eaten in that region, not a record of when or where the bread itself was first made. No source found gives an actual invention date or place.
What would resolve this A food-history or archaeological source establishing when leavened, oven-baked flatbread first appeared in Persia specifically (as opposed to the broader family of Middle Eastern and South Asian flatbreads), with a citable date or period.
Openfood historyNaan (Wikipedia)