Costa Rica is a small country at only 51,100 km (19,653 sq mi), a little smaller than West Virginia and a little bit bigger than Denmark. When you look at it on a map, it seems like you can easily road trip the whole country in a week. Ki_htai Hotel Travelling With Asylum Green Card These Green Card holders can also travel abroad for work purposes or for. a Green Card after living as a refugee or an asylee for one year in America, you will. If they do so, they risk losing their asylee status or their green card.