It is possible to be granted a three-year residence and work 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 a Nordic citizen, you do not need a residence permit but are free to enter, live and work in Denmark. If you are an EU/EEA citizen or Swiss citizen, you must apply for a proof of registration at the Regional State Administration. In some cases, however, citizens of the new EU countries need to apply for a work permit at the Immigration Service in order to work in Denmark.