We love Parsis, Yazdi.
I do not count Muslim rule from Qasim (711 AD) but from the great Mahmood of Ghazna (1000 AD) to the practical end of effective Muslim rule (1750 AD, Plassey happened in 1757). Learn to count right. Your brain is not a closet. It can admit truth.
So, Parsis lived under unscathed almost 700 years of Muslim rule.
Similarly, when Jews were offered convert , die or get exiled choices by the new Christian rulers of Spain, they went to the Muslim Ottoman lands of Turkey and its Eastern European provinces. You are probably aware of these facts too.