Tell your parents to ist down and to listen carefully, and you will not tolerate them walking away until you have had your say:
They need professional intervention, and you are serious. Tell the to get to a marriage encounter weekend FIRST, into couples counseling second, and give it 6 months...and if they feel the same after that, then by all means, leave one another,. Make it clear to mom you are absolutely NOT under any circumstance going with her if she leaved the country, end of discussion, because it is your right to stay.
Tell them you are amazed that they have become so hostile, that there were good reasons they married, and professionals can help them reestablish new ground rules and respect and contribution to and with each other. Tell them both if they refuse your advice, they are both chickens and fear uncovering some real truths about themselves. Tell them it is not only about marriage, it is about they way they have conducted themselves, and you expect them to comply if they are mature, and if they don not seek professional help and a marriage encounter and counselor afterwards, they are just running form their own individual problems, and those problems inside them will fester and reappear elselsewherea later date..