They presumably already have wholly owned subsidiaries in each country where they have any presence - the US government can then presumably say to the parent company in the US "tell your subsidiary in <country> to give us their data" and what can they do?
They would respond "We ordered the CEO of the local subsidiary to give us the data, and he refused, because that would be illegal in the country the subsidiary is based in. We then fired the CEO, now he's suing the subsidiary and we had to close it down. We made $50M loss this year because of the lawsuit. Thank you, honourable judge."
