Globalization works the other way too. I'm working at a Danish company that offshored Danish jobs to the US. Before that I was at an Australian firm that offshored Aussie jobs to the US. Before that I was at a firm founded by two immigrants. Globalization cuts both ways.
Of course it does. But in that case you were the US company's customer - they absolutely should bend over backwards to accommodate you.
In most cases bosses are hoping to externalize a cost to their local employees - if their outsourced labour has to wake up early for a call, they'll probably do it happily but then charge him for it. He's happier trying to make his salaried US employees 'stretch' a bit to help him out and make the cost savings work for him.
