Stay in Denmark under the Green Card Scheme
It is possible to be granted a residence permit for the purpose of seeking work, and subsequently working, in Denmark. A residence and work permit under the Greencard scheme is issued on the basis of an individual evaluation using a point system designed to assess the likelihood that the applicant will be able to find qualified work in Denmark.
If you are granted a residence permit under the Greencard scheme, you do not need to obtain a work permit. A residence permit under the Greencard scheme gives you the right to carry out paid or unpaid work. A residence permit under the Greencard scheme does not give you the right to work as a self-employed person (run your own business).
You will be able to find more information on the Green card Scheme by following this link to New in Denmark.