It does though. As someone who isn't a US citizen, resident or visitor, he isn't subject to US laws.
What he is subject to is the laws of the country he was residing in, and any extradition treaties they have with the US. What he allegedly did was a crime there too, which is important as most countries will not extradite if what the subject did wasn't criminal in both countries, if they were still in the request-recipient country at the time.