33 According to 14 CFR part 107, how may a remote pilot operate an unmanned aircraft in class C airspace?
A. The remote pilot must have prior authorization from the Air Traffic Control (ATC) facility having jurisdiction over that airspace.
§107.41 Operation in certain airspace.
This is correct.
No person may operate a small unmanned aircraft in Class B, Class C, or Class D airspace or within the lateral boundaries of the surface area of Class E airspace designated for an airport unless that person has prior authorization from Air Traffic Control (ATC).
Authorization is getting easier, and will soon be completely automated. To get authorization, go to the FAA Request a Waiver/Airspace Authorization website.
The FAA has directed all ATC facilities to generate a map like this one showing where automated authorization may occur.
The FAA has issued a 22-page ATO Policy (effective on October 3, 2016) that finally defines the procedures that every ATC facility will follow for authorized UAS flight in their area.