Yes, you can literally pay the executives nothing, because most executives earn most of their compensation through stock options. Which means they no longer care about the long term health of the company they are running, their only concern is their short-term stock options and their golden parachute when they bail out after running the company into the ground. Foreign companies don't give their executives anything close to the kinds of compensation American CEO's demand.
To top off the outrage, if the American CEO is a really special kind of a-hole executive, they'll arrange to buy up the company they just destroyed for bargain basement prices and sell off the pieces to other companies for a healthy profit!
You also might want to conceive of the fact that corporations have more responsibilities than just to efficiency & stock holders, despite how most try to downplay any such ideas, a company has responsibilities to it's community and it's workers too. There is nothing appealing about the notion of companies constantly roving the globe destroying their environments as they suck every last bit of profitability out of the populace before moving on to the next new cheap labor pool. It's funny how the great industrialists had more of a sense of community contribution than most modern CEO's.