If you are a non-Nordic citizen, a permit is needed to live and work in the Faroe Islands for long term basis. Nordic citizens (Denmark, Finland, Iceland, Norway, and Sweden are free to enter, reside, study and work in the Faroe Islands without a visa or residence and work permit). Work and residence permits hold different requirements and conditions so it is important to check with the appropriate authorities in Denmark if you are uncertain or have questions about your eligibility. The two main authorities for processing cases in the Faroe Islands are The Danish Immigration Service and Danish Agency for International Recruitment and Integration.
Here below, you can find a general overview of permits applicable in the Faroe Islands:
Work and Residence Permits
Spouses/ Cohabiting partners
Other family members