Depends on the laws and how you are being paid. If the local country thinks you're an employee (earning wages) then it would probably have to be a local company

Depends on the laws and how you are being paid. If the local country thinks you're an employee (earning wages) then it would probably have to be a local company. If you're just being paid dividends from your US, then it could remain a US company but you may not qualify as a digital nomad. Either way you would have tax liabilities in the local country to sort out and paying corporate tax, then capital gains taxes is usually a worse tax scenario than wages - but YMMV depending on how much you earn. There are lots of companies that handle this case, remote.com being one - where they are the local employer of record and handle all the social taxes and reporting.