The Patriarch of the Chaldean Catholic Church, Mar Raphael-louis Sako, Has encouraged believers in the diaspora to return to their original homeland. (source)
While the statement in the title is true. I must mention that we Eastern Catholics in the diaspora must play a very important part in the evangelisation of the greater world. God has put us here in the West. We have integrated, been educated, learnt the languages and understood the cultures. We now are now 'in the world' of the West.
Eastern Christianity emphasises things that the Western Tradition does not. For example: the profound mystery of the Trinity, beautiful liturgies and the coming down of the Holy Spirit.
I believe God has put us here in the West so that we can share our traditions, spirituality and theology, so that the Catholic Church may breath in two lungs and re-evangelise the West. The Eastern Churches (especially those belonging to the Syriac traditions) have in and of themselves charisms that the early Church had. This, I believe will be important in the conversion of the Protestants.
While I am in principle against emigration from the Middle East (and that is easy to say considering I live in the diaspora). I am not in support of integrated Eastern Christians physically returning home to their motherland. Rather, what must happen, is that Eastern Christians must spiritually; theologically; and liturgically return to their home and origin. So that they can share this spirituality; theology; and liturgy, which ultimately proclaim Christ, with others.
Through the prayers of the Birth-Giver of God Maryam and Mor Ephrem, God Bless you.