We have owned a parrot, years ago, but never lived aboard with one. They're very adaptable creatures - shouldn't present any unusual problems.
Our dockmates do have a green parrot and place the cage in the cockpit during nice weather while at dock. Other times, it hangs above the dinette - built-in gimbal, you know.
Training it to perch on your shoulder, well . . . I''ll just leave that to the resident pirates here.
True Blue . . .
sold the Nauticat