The FAA issued a so-called notice to airmen (NOTAM) to airlines early Saturday that it was banning flights from entering the Eastern Caribbean airspace "due to safety-of-flight risk associated with ongoing military activity."

Major U.S. air carriers -- including Southwest, JetBlue, United, Delta and American -- canceled hundreds of flights during the airspace ban. Flights throughout the Caribbean -- including other popular destinations such as Aruba, Bonaire Curacao, St. Martin and St. Thomas in the U.S. Virgin Islands -- were also canceled during the airspace ban, but some airports are getting back to normal.

Billy Gunther told ABC affiliate station WZVN in Naples, Florida, that it could be another three days before he and his wife get a flight back home. Gunther said he has spoken to other tourists coping with flight cancellations.

"So, you have a lot of people who are anxious, that they don't know when they're going to come home," Gunther said.