Forgive my unquenchable skepticism but do you think it’s likely that any non-Western-ish European would be elected Pope? It hasn’t happened since about the 9th century (and no, Pope Francis doesn’t count; he’s ethnically and culturally Italian). Just look at the disproportionate assignment of cardinals to population ratio in Europe (which HH Pope Benedict XVI, I’m sure, had many a remark made against him for undermining said status quo).
In short, an Eastern Catholic Pope is extremely unlikely; there have been many stories of certain Patriarchs being “close” to being legitimate candidates but they should be left at that: stories.