I've always been curious if is it possible for a US C-Corp to be able to change it's country of incorporation from the US to another country? If they do, how is equity handled? Would public companies be able to replace common and preferred stock with ADRs?

This question seems even more pertinent now that there is a Presidential Executive Order that was issued that state that a even the assets of a US company abroad are subject to laws in the US, which strangely puts US companies in a really touch position of not being able to comply with both US and European laws simultaneously.