Globalization has kept labor unions on the defensive for nearly forty years now. While workers are pretty much stuck where they live, corporations are able to move production around to find the lowest wages. But labor has gotten better over the years at exploiting a globalized world for its own aims, and we may see a big step forward on that front when fast-food workers stage their first-ever global strike on May 15 against multinational giants like McDonald's.
It's true that globalization has put more cards in the hands of capital.