If you're travelling to another country or relocating, as long as Netflix is available there, you'll be fine. But keep in mind the following:
The monthly price, billing currency, and payment methods may differ.
If you want to be billed in the currency of the country you moved to, simply cancel your account, wait until the rest of the month is over, and then restart your account in your new country.
As long as you have a stable WiFi connection. If there are any differences to be aware of, Netflix will notify you right away.