the person who asked the question told that he/she had "de-registered from Denmark".
If you have "de-registered" from Denmark then you are not entitled to receive unemployment benefits from Denmark.
You can only be covered by the unemployment insurance system in one EEA country (EEA countries = EU member countries, Norway, Iceland, Liechtenstein and Switzerland) at a time. The main rule is that you have to be covered by the unemployment insurance system of the country in which you work or study.
So if you live in Denmark, and is an EEA-citizen, and graduate from a danish school/University then it is correct that you have the right to take your Unemployment benefits with you (for up to three months) to another EEA-country. However there is still some requirements for this - mentioned in the article about transferring Unemployment benefits, https://a-kasser.dk/transferring-unemployment-benefits.html
- most important that you before leaving Denmark have been registered as an unemployed jobseeker at "Jobcenter" for at least 4 weeks. There is exemptions to this, as mentioned in our article.
Hope this clarifies things a bit more for you, otherwise please post comment.