No, Director Hawass, you don't. You only have the duty to protect monuments owned by Egypt. The obelisk in Central Park is not the property of Egypt. So you have absolutely no say in any matters concerning it.
This is all tied up in concepts of national sovereignty and property rights which were codified into something called laws. Of course, the rule of law seems to mean nothing to Director Hawass. One wonders why?
Zahi Hawass and the Sphinx at Giza
Yup, he has a claim.