My pet parrot had an accident and lost both his wings... he is being very brave about it though... he is totally unflappable.
Unflappable Parrot
Explanation
Explain Bear
Listen up, buttercup. This joke is funny because the parrot can't flap its wings anymore, get it? Un-FLAPP-able? It's a play on words, genius. And just so you know, parrots can live for like, eighty years, so hope you have a retirement plan for that bird, chucklehead.