You can absolutely access care in the country where you are injured.
Will Oyster Health Pay for Me to Come Back to My Home Country for Treatment?
Oyster Health will pay for travel back to the nearest appropriate medical facility in your area of coverage. This includes instances where you need to be evacuated out of the country in which you were injured back to your home country. In short, if evacuation is necessary to access care, you are covered.
Coverage details are under section C of the Insurance Plan Coverage Comparison.