"Do you like eating Chinese ramen or Japanese ramen?"
Is it possible to say 你喜欢吃中国还是日本拉面 here? To me it would seem more natural to say it that way in English
Right, I don't like to deliberately make the sentence shorter in his way. Personally I would say 中国的拉面 (with 的 to weaken the link between the country and ramen), e.g. 你喜欢吃中国的拉面还是日本的拉面？
Yes. No problem.
The laziest way I can say it is
Use it only verbally.