What organization regulated goldfish?

I'm not certain that an organization regulated goldfish but rather it was done by the government bodies as a whole. Since they are considered an invasive species, there are laws that say they can be bought, sold, transported and possessed, but cannot be introduced into the wild.
This will of course vary country to country, state to state, or even province to province, so you may be able to find a more direct answer by looking up your local laws.