The Outer Space Treaty specifically says that no country can claim sovereignty over outer space or celestial objects, that countries retain ownership of anything they launch into space, and that they are liable for damage they cause to any other countries space objects (or people on them). The treaty has been signed and ratified by all major space faring nations, including the US, Russia, China, and all major European countries.
In real terms that means any country could shoot your satellite out of orbit regardless of whether you're obeying any given country's law or not.