Dear Elizabeth,
Panama regulations make it extremely difficult to bring birds of any kind into the country. I’d suggest contacting a Panama attorney for legal info on this. There is an attorney contact listed in the rolodex of your panama insider : The Law Offices of Rainelda Mata-Kelly, Suite 406-407, Tower B, Torres de las Americas, Punta Pacifica, Panama City, Panama; tel. +507 216-9299; e-mail: rmk@mata-kelly.com; website: http://www.mata-kelly.com
good luck!!!