Ok, let me start by saying I rather like the God of War series and am generally on board with it's unique interpretation of Greek Mythology. So take the following hot take with that in mind.
Here goes. So I get that the GOW Trilogy plays fairly fast and loose with Greek Myth, History and Geography for the sake of Storytelling and Spectacle, and you can easily write it off as being set in the Age of Myth, or if you really wanted, before the Rise of Classical Greece, during the Greek Dark Ages or even tie this to the bronze age collapse if you really wanted to try to sync it with actual history(Don't do this, it doesn't sync).
This Breaks down, however, because GOW2 decided they wanted to have Kratos Fight the Colossus of Rhodes, which admittely is great Spectacle. The problem is said wonder of the world only existed for 54 years(yes, a grand total of a half century) before being destroyed by an Earthquake in 226 BCE. The problem with this is now you've established a Firm Year for GOW2 and GOW3, and which sometime in the 3rd century(and presumably 226 BCE). And this causes a problem if you try to factor in the rest of...well, history, because by that point Classical Greece isn't even really a thing anymore. Hell, Alexander the Great has already Built his Empire, died, left 3 squabbling successor empires that fought 4 major wars with each other and this all well within the span of recorded history at this point.
And that doesn't jive well with GOW3 where Kratos basically kills all the Gods and takes down a big chunk of the Greek World with it because, yeah, something like that would have been recorded by like everyone(the Sun going dark, the seas destroying everything, the plants dying, etc).
That being said, they're great games but any attempt to sync them our world at this point is futile because you can't. Then again, I guess that was obvious when there was supposed to be a giant Desert outside of Athens with a Titan Crawling around in it.