I doubt he would, but just as a though exercise: What would happen if he started answering http requests from space for free? Would that be a crime?
But to answer the question, I believe a satellite is like a ship in international waters: you're obliged to follow the laws of the country whose flag you carry (and if you don't fly under a national flag you're... not really a criminal so much as an outlaw).
There are international agreements about radio transmission but AFAIK none have the force of international law. There is a long and glorious tradition of "pirate" radio stations transmitting from international waters (at least around Britain), which were often perceived as shaky (and technically illegal to listen to), but never prosecuted.