We had an
acrylic travel cage custom built and mounted to the wall in an aft
cabin. Our African Grey went in there underway & at night. Did fine and Greys tend to be high strung.
On one particularly rough crossing she chewed thru her perch.
I would take the parrot out for few test
sails to see how it works out.
Note: crossing international borders with a parrot can be a PITA.