The one European country that did NOT establish settlements in North America was:

Spain
France
Portugal
England

And you think … ?

Im pretty sure its portugal.

The European country that did NOT establish settlements in North America was Portugal.

To find the answer to this question, you can start by eliminating the countries that did establish settlements in North America, which are Spain, France, and England. These three countries are well-known for colonizing various regions in North America during the Age of Exploration.

Once you have eliminated Spain, France, and England, you are left with Portugal as the only remaining option. Portugal, although a prominent European power during the Age of Exploration, did not establish any permanent settlements in North America. Instead, Portugal focused its colonial efforts on regions such as Brazil, Africa, Asia, and the Indian Ocean.

Therefore, the correct answer to your question is Portugal.