Well, US official policy is that they do not recognize the authority of the International Criminal Court, or any other international court, over US citizens or the US state. This has been seen with a few trials for war crimes, most notably the trial they lost (and ignored) for mining Nicaragua's ports, a clear violation of the Geneva convention, an explicit war crime.

As an EU citizen, whether I'm kowtowing to Chinese or US imperialism is not all that different. Sure, I'd much rather live in the US than China, but in recent history, US influence outside their borders has been much, much worse for those under their heel than has Chinese influence.