If I cannot settle in one country, can I move to another European country after studies for a Master's?

Moving to another European country after your Master's depends entirely on your citizenship, not on where you studied. EU, EEA and Swiss citizens move freely with no extra permission needed. As a non EU student, your post study visa from your country of study does not automatically carry over, so you need a specific pathway into the next country.

Your Mobility Options, By Citizenship

Pathways Available To Non EU Graduates

• Apply for a work visa directly in the new country once an employer there hires you, meeting that country's specific national work permit rules.
• Pursue the EU Blue Card route if your job offer meets the salary and qualification thresholds, streamlining hiring across participating member states.
• Build EU Long Term Resident status after roughly 5 years of continuous legal residence in your first country, which then eases moving to a second EU country.

My Advice

If settling long term matters to you, target your job search directly at the specific country you actually want to live in, rather than treating your post study visa as a springboard across Europe. Ask an immigration counsellor about the EU Blue Card thresholds for your field early, since qualifying for it is often the fastest legal route between two non EU work situations.