Which one did say that? They just said Azeries has Origin from Turkic race.
The troth is most of Persian never accept the Turkic dynasties as a part of the history of
Iran (not Persian). Do you know about the time Persian were the leader of world? for example 2000 BC the population of world were less than
30,000,000! The current population of Iran is more than 75,000,000!
World population from 10,000 BCE to 2,000 CE. The vertical (population) scale is logarithmic.
Why do you think having a Persian government could be a reason that the people of these area was not Turkic? Egypt was a part of the empire once. were they Persian? By denying Turkic share of Iranian culture the chance of having a distinctive developed Script is also diminishes. As you may know not
Kufic nor
Cuneiform script has Iranian origin. Turkic people developed
one.