Although Persians are on the edge of the Roman Empire, so I don't think this is related to this discussion too much, it depends on what you consider "white". When I google "iranians" and go to images, I see people that, if I must classify them into a "race", I can most closely classify them as white(ish).
Here's an interesting (USA) article that illustrates this issue: https://www.latimes.com/projects/la-me-census-middle-east-no...
Are people from Teheran, for example, "white, black, Asian, American Indian, or Native Hawaiian" (copy-pasted the choices from the article)? In my opinion, American obsession with race is silly.