as an non-EU you have never been able to count previous stays in Switzerland (or EU/EEA). In relation to the residence requirement, which will be removed from 1st February 2020, it was only EU-citizens who could count stays in other EU/EEA countries.
After the removal of the residence requirement from 1st February 2020, it is no longer relevant how many years you have stayed in Denmark (or other EU/EEA-countries).
So from 1st February 2020, you must meet the general requirements for being eligible for dagpenge.
This includes 1 year membership of an A-kasse and that you have earned at least DKK 238.512 during the last 3 years (in total). Remember that only income earned during periods with A-kasse membership can be counted in the income-requirement.
Next, it is important for an non-EU citizen that you - if you should be unemployed and apply for dagpenge - can take ANY job with one days notice, meaning you must be available for the labor-market.
We do not guide about residence and work-permit, but joining an A-kasse as an non-EU citizen is only relevant, if you are allowed to stay and work in Denmark, if you lose your current job.
Anders Weber, www.a-kasser.dk