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I was wondering if now was the time to go back to Persia as a name.
I should have known better, but my mind went to the name 'Iran' being tied to Islam.
I looked around though and found....

--- Why did Persians choose Iran instead of historical name Persia for their country?

"It’s a misconception the foreigners have, but the reason is so simple. Each country have some endonyms and exonyms.

For example, people know “Hellas” as “Greece”. Persians call it “Younan”; so if Greeks request others to call their land “Hellas”,
which is even more historical and valid than “Greece” (Hellas - Wikipedia), then some people may think that “Hellas” is a new nation.

Unfortunately, such a misconception exists about the name of Iran (Name of Iran - Wikipedia); Iran literally means “ the land of Aryans”
and Aryans (or Iranians) were considered the common ethnicity of many Iranian ethnic groups, one of which are Persians (Refer to Iranian peoples - Wikipedia).
From the Parthian Empire or even before that time, people knew their land as Iran.
It’s repeated hundreds of times in Shahnameh (Shahnameh - Wikipedia) as the national epic of Iranians; even Achaemenid knew themselves first Persian, and then Aryan.
In a royal inscription Darius the Great once stated “I am a Persian, son of a Persian; Aryan; having Aryan lineage”. DNa - Livius

About 80 years ago, Reza Shah of Iran requested the foreigners to use “Iran” instead of “Persia”, which could cover all ethnic groups of Iran.

Perhaps it was a bad idea, but Reza Shah requested to replace “Persia” with “Iran” for any mention of Persia throughout history;
No one said it’s a new name; It was just a more valid name. Later, Mohammad Reza Shah announced that both “Persia” and “Iran” are interchangeable.

In many cases “Iran” is a more technical term;
For example the valid term for Persian Empires (Persian Empire - Wikipedia), which refers to five major Empires from Iran should be called “Iranian Empires”;
for example Parthians (In fact Arsacid Empire) and Medes were “Iranians” and Achaemenid and Sassanid were Persians and again Iranians;
Safavis were a Perso-Turk (Persianate) Empire, and Iranian could be correct as we still have Azeris as a Trukic ethnic group (about 16%).

For an expert, the names are interchangeable, and sometimes one is more technical than the other. I hope people respect this rule."

~Bahram Amiri, Persian, lives in Iran; interested in history, politics~

https://www.quora.com/Why-did-Persians-choose-Iran-instead-of-historical-name-Persia-for-their-country