Fun Fact: The common name 'Norman' is derived from the Germanic byname meaning 'Northman' often in reference to the Vikings of the 8th to 11th century before Norway would officially claim kingdom-hood. It is also affiliated to the Vikings that settled in France and established Normandy. The Norwegians would adopt this name and hence the similarity of 'Nordmenn' and 'Norman'.
The amount of contact and influence between Great Britain, Germany, and Scandinavia (Norway, Sweden, and Denmark primarily) is all encompassing and quite interesting. I highly recommend studying Norwegian History if you haven't already.
Well, interestingly enough, there doesn't seem to exist such a Norwegian word. We rarely describe us in that way. But if we were to do so, we would probably just say Scandinavians. "Skandinavere". If you were persistent to use Nordic, it would be "folk fra Norden" or the appropriate exchange of "folk".