For some odd reason there is a quite annoying belief that the Supreme Court is the "highest" Court in existence. The Superior Court/(the most Honorable Court IMO) has Executive rights over all States within the Governance of Nations. Is it that there is a wanted ignorance (from the United States Government) to assure people/(Citizens and other public entities) believe they are under an omnipotent power in which there is no greater? Would you consider this to be an implied form of Communism or Supremacy?
What are you talking about?
What is this "Superior Court" that you claim has executive rights? Courts don't have "executive rights". They decide the law.
The Supreme Court of the USA
is the highest court in the USA.
There is no universally acknowledged supranational court. There are some supranational courts, e.g. the International Criminal Court at The Hague, established by international treaty* (the Rome Statute), but this treaty has not been ratified by all countries and in fact the USA - egregiously - refuses to ratify it.
Is this what you mean, or something else?
*The only mechanism by which a sovereign state recognises an institution beyond its borders as having power over it is by treaty, i.e. voluntarily agreeing to be bound by it.