The Treasury Department has given air carriers permission to resume direct charter flights between Florida and Cuba as early as July 2.

The companies must wait for landing permits from Cuba before the flights can start, said Vivian Mannerud, manager of Miami's Air-line Brokers Co.American Airlines and Marazul Charters of Miami also have licenses, said Mannerud, a leading charter organizer before flights were canceled.

Island Air Charters, in Fort Lauderdale, and Cuba Paquetes Inc., in Hialeah, also have said they received notice from the Treasury Department's Office of Financial Asset Control, which supervises all embargoes, that direct flights could resume.