It would not be hard to sense the chicken's head orientation (with a strap-on harness; hey this gives a whole new meaning to a "
strap down gyro") which is clearly steady in 3D space.
How about applying for an EASA STC, and see how far it goes before somebody realises?
Look how far the FCL proposals have gone and they are only marginally less nutty.
A parrot would be brilliant for reading back clearances. Probably illegal in the UK because one is not allowed to record ATC.