I believe that by international admiralty law warships, even those sunk in international waters, remain the property of the nation that they served. I think that's a fairly recent thing, though, in large part fueled by the discovery of a Russian ship in Japanese waters in the 1980s... Supposedly it was carrying billions in gold when it was sunk during the Russo-Japanese war. Both the Japanese and Russians claimed rights to it, and I THINK that finally kicked off some treaty movement in the late 1980s/early 1990s.
I'm pretty sure, though, that the US claims all sunken US ships, no matter where they are located, as US property and under jurisdiction of US law.