Does Greenland count as a part of Denmark, and the EU?

I have created an airline in Iceland similar to Air Iceland (Not IcelandAir). I have recently found out that Iceland is a full EU member (Somehow), and I was wondering if Greenland counted as a part of Denmark, and the EU, in order to have domestic routes in Greenland. Any answers? 

Just go to Route Evaluation under your Commercial Menu.

Type in the route you want to fly and you will see if you have the traffic rights or not.

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In my case I can transport cargo (green tick mark) but not passengers (red x).

Just have a look at the country information for Denmark and you get full answer for your question.

Yes, Greenland counts as part of Denmark and therefore full EU-Treaty applies. Same for Faroer-Islands

Thank's for the feedback! I'll probably fly flights from the Faroe Islands to Copenhagen as well as a domestic system in Greenland.