Regarding the relationship the US has with the ICC, see the American Service-Members' Protection Act.
> ASPA authorizes the President of the United States to use "all means necessary and appropriate to bring about the release of any U.S. or allied personnel being detained or imprisoned by, on behalf of, or at the request of the International Criminal Court". This authorization has led the act to be nicknamed the "Hague Invasion Act".
> The act prohibits federal, state and local governments and agencies (including courts and law enforcement agencies) from assisting the court. For example, it prohibits the extradition of any person from the U.S. to the Court; it prohibits the transfer of classified national security information and law enforcement information to the court.
> The act also prohibits U.S. military aid to countries that are party to the court. However, exceptions are allowed for aid to NATO members, major non-NATO allies, Taiwan, and countries that have entered into "Article 98 agreements", agreeing not to hand over U.S. nationals to the court.
> ASPA authorizes the President of the United States to use "all means necessary and appropriate to bring about the release of any U.S. or allied personnel being detained or imprisoned by, on behalf of, or at the request of the International Criminal Court". This authorization has led the act to be nicknamed the "Hague Invasion Act".
> The act prohibits federal, state and local governments and agencies (including courts and law enforcement agencies) from assisting the court. For example, it prohibits the extradition of any person from the U.S. to the Court; it prohibits the transfer of classified national security information and law enforcement information to the court.
> The act also prohibits U.S. military aid to countries that are party to the court. However, exceptions are allowed for aid to NATO members, major non-NATO allies, Taiwan, and countries that have entered into "Article 98 agreements", agreeing not to hand over U.S. nationals to the court.
https://en.wikipedia.org/wiki/American_Service-Members%27_Pr...