Eritrichium nanum is restricted to the European Alps and the Southern Carpathians.

There are two subspecies described. Eritrichium nanum ssp. nanum occurs in France, Italy, Switzerland, Austria and Slovenia and Eritrichium nanum ssp. jankae is endemic to the Southern Carpathians of Romania:

http://skalnicky-rostliny.blog.cz/galerie/turecko-bulharsko-romania/obrazek/104713323

https://www.flickr.com/photos/59161444@N05/47086322742

https://www.researchgate.net/figure/Eritrichium-nanum-subsp-jankae-A-Distribution-in-the-South-Eastern-Carpathians-darker_fig27_311986147

Related species in North America have often been regarded as varieties or subspecies of Eritrichium nanum.

Because of this there is quite a lot confusion about them, even the species range maps are not always correct. According to POWO Eritrichium aretioides can also be found in European Russia and in Siberia. Neither iNaturalist nor plantarium.ru or a search on the internet brought a single picture that shows Eritrichium aretioides from this area. It was probably a confusion with the species Eritrichium villosum.

Eritrichium nanum:

European Alps and Carpathian Mountains

Eritrichium aretioides:

Eritrichium aretioides is like Eritrichium chamissonis and Eritrichium splendens a Beringian endemic.

Distribution in Russia according to: http://www.izdatgeo.ru/pdf/rast/2008-1/17.pdf

Far East: Chukotka District, St. Paul (probably Eritrichium chamissonis!) and Karaginsky islands.

Canada: Yukon Territory

http://data.canadensys.net/vascan/taxon/3765

USA: Alaska

Eritrichium argenteum:

This taxon is often called Eritrichium nanum, Eritrichium nanum var. elongatum, Eritrichium aretioides etc.

USA: Colorado, Idaho, Montana, New Mexico, Oregon, Utah, Washington and in Wyoming

Eritrichium chamissonis:

Another Beringian endemic from Alaska (especially Pribilof Islands) and the Yukon Territory