Hi,
I assume you ask about the possibility to export/transfer your unemployment benefits (“dagpenge”) from the danish A-kasse, while looking for job in another EU/EEA-country.
We have an article about the 3-months job-search period on our website. Please look here:
https://www.a-kasser.dk/transferring-unemployment-benefits/.
If you quit your job your self you will be regarded as self-inflicted unemployed, and will get a quarantine of 3 weeks from the day after you stop working, in which period you will not receive dagpenge from the A-kasse.
If a quarantine or a part of it has not been completed 3 months after a termination of a job, the quarantine is deemed to have expired.
This means that if you go to your home EU-country the day after you stop working, and return to Denmark after 3 months, you will no longer have the 3 weeks quarantine.
Let me know if you need further help.
Best regards,
Anders Weber, A-kasser.dk