If you plan to go on supplementary unemployment benefits, then you can quit the (part-time) job your self without consequences in terms of quarantine, penalty or other (and continue on normal unemployment benefits), but only if you do it at the time the 30 weeks period with unemployment benefits expire. If this is the case for you we strongly recommend you to ask your a-kasse how you can quit job your self without negative consequences.
If you will not be on supplementary benefits, then it is correct that there is a rule saying that if you (as unemployed on dagpenge) quit a job yourself 2 times within 12 months, then you can only begin to receive unemployment benefits again after you have worked at least 300 hours within a period of 3 months, or you have an income of at least DKK 233.376 within 1 year (and at the same time not have received dagpenge during that year).
Let me know if you have further questions.
Best regards,
Anders Weber, www.a-kasser.dk
If you will not be on supplementary benefits, then it is correct that there is a rule saying that if you (as unemployed on dagpenge) quit a job yourself 2 times within 12 months, then you can only begin to receive unemployment benefits again after you have worked at least 300 hours within a period of 3 months, or you have an income of at least DKK 233.376 within 1 year (and at the same time not have received dagpenge during that year).
Let me know if you have further questions.
Best regards,
Anders Weber, www.a-kasser.dk