Hi,
whether you can receive unemployment benefits or not, depend (as a non-EU citizen) on, among other things the type of work/residence permit you have.
We do not guide about work permit, but recommend you instead to contact SIRI about that part of your question.
However to be able to get unemployment benefits (“dagpenge”) you will need a work permit that:
– allows you to take any job with one day notice, and
– the work/residence permit must no be conditional on that you do not receive Unemployment benefits (“dagpenge”).
If you can meet these requirements (you probably can’t) an PhD will normally be meet the requirements for graduate rights regarding unemployment benefits. You can see all requirements here:
https://www.a-kasser.dk/graduates/
As a PhD student it could also be an option (again only if you have the right work/residence permit) to get dagpenge based on the salary you get as a PhD student. Read more here (only in danish):
https://www.a-kasser.dk/phd-studerende/
Hope it helps you.
Best regards,
Anders Weber, A-kasser.dk