Does US territory include becoming a full US state or just overseas territory like Guam or PR?

Would Denmark need to be a sovereign entity for this to resolve as "Territory of Denmark"? For example, if Denmark were to become part of a federalized EU (or of the US or some other country, whatever), how would this resolve?

Does stats quo resolve territory of denmark?

@JussiVilleHeiskanen If Denmark is within the Danish Realm including the status quo then yes