Can you teach a parrot to speak English fluently?

The sad answer is that unless you are a groundbreaking amazing parrot speech teacher that can do something that no one else has done. Then yes. Actually there has been a parrot named A.l.e.x that has learned to speak to a limited degree. You can show him stuff and he can say if it is bigger, smaller same and different. Identify 50 different object, some colours and shapes look him up. Btw his name stood for Avian Language Experiment shortened to A.l.e.x. However your parrot could probably learn to understand commands and to a limited degree understand you. However you could probably not teach it to speak english just mimic it.