As an EU/EEA citizen planning to study and live in Norway for more than three months, you need to register with the Norwegian Directorate of Immigration (UDI). Check out UDI’s official website to learn about registration here.
International students from countries outside the EU/EEA and Switzerland need to obtain a residence permit for studies or a study permit before coming to Norway. To apply, you must first be accepted into a study program in Norway and demonstrate that you have sufficient funds to live there. Read about all the requirements here. Once granted a study permit, you are allowed to work part-time for up to 20 hours a week, including remote work.
It is important to complete this process in advance. This is why application deadlines are early, allowing you to receive an early response from universities in Norway. Follow the steps provided by UDI to learn about the process and ensure a smooth move here.