How can a Muslim take care of and serve his parents in his home country if he works in another country and cannot find work in his own?

May Allah reward you for your eagerness to honor your parents. We advise you not to quit your job, and to strive for a balance between caring for your family and your parents. You can hire someone to serve and care for them, while maintaining continuous contact with them. If you can find a suitable job in your country that combines both interests, that would be good. Otherwise, you would have feared Allah as much as you could in honoring them and caring for your family.