Yes, that’s what sovereignty means: a sovereign state governs itself and is not governed by others. A sovereign state can agree to abide by certain rules or submit some disputes to another arbiter, but it does so consensually by treaty. The US never ratified a treaty establishing the authority of the ICC, so it has not consented to that diminution of sovereignty.
You as an individual are not sovereign, and when you come to the land over which the US is sovereign, you are subject to US law.
You as an individual are not sovereign, and when you come to the land over which the US is sovereign, you are subject to US law.