As in, a threat to their wealth and earnings? Sure, that's an issue, but is not an issue with globalization in the abstract. In fact, the U.S. benefits enormously of globalization in total material terms (U.S. produced goods and U.S. brands are pervasive through the world and have been for half a century, and that generates tons of wealth for the nation). "Yeah, but that gain gets mostly concentrated at the top while working class people go unemployed and risk homelessness" one might say. But that is the issue, not globalization. A more progressive taxation scheme, a coordinated investment into infrastructure, improved access to education and even things like UBI can all be combined to solve that problem. Better wealth distribution without negating all the wealth created by globalization.

Globalization-in-current-practice has a lot of specific problems: wealth inequality, environmental and labor laws race to the bottom, etc. But those are things to work on without throwing globalization away (the same way that propaganda on social networks can be tackled without either: "ban social media" or "internet sovereignty: internet propaganda for the national government where you live and no one else"). There are big issues with specific models of globalization. But nationalism flaws are inherent, a nationalist utopia is strictly worse than a globalist utopia, and historically nationalist reality has been worse than globalist reality (e.g. for all its problems, the E.U. beats what came before it).