Thought I would add in a little bit.
I have worked with parrots both in a breeding and rescuing capacity. One of my first jobs was working for a man who owned a pet shop. He bred
Amazon, African Grey, and Macaw parrots to sell in his shop. In hindsight I am disappointed in myself for being associated with someone who I would now consider a rather unscrupulous source for parrots, but at the time it was a great learning experience for me.
As for incubating parrot eggs in an incubator, it can and does work. My former boss had a small chicken incubator (I cannot recall the brand but it was a table-top incubator like the ones I see at the local feed store). He would mostly allow the parrot hens to incubate their own eggs and then begin hand-feeding them formula after a week or so. Helping hand-feed was one of my responsibilities too, and for a long time I was waking up every two hours over the weekends to hand-feed squawking parrots.
But sometimes the hens would not brood, or our customers would bring eggs from parrots that they didn't want to deal with. The success rate was low, maybe two eggs out of every dozen would hatch, but I owned a male eclectus who was hatched this way and he lived to be ten years old before dying due to an injury.
Most "parrot egg" ads online are scams, and like others have said I wouldn't trust eggs that have been shipped in the mail, but if you had someone local whose birds were breeding and they didn't want the offspring, you may have some success sticking the eggs under a broody chicken or in an incubator.
I have also heard of broody parrots being used to incubate other parrot eggs. I have a pair of eclectus I am hoping to breed soon, and this species is known for being exceptionally broody, so maybe I'll utilize her for other types of parrots? We'll see!
For those interested in getting parrots, please look into adopting. I have worked with so many exotic and bird rescues over the years. There are so many in rescue, especially the more popular species like B&G macaws, african grays, amazons, and cockatoos. Or if you own land and don't necessarily want parrots that can be man-handled, consider outdoor aviaries where you can house groups of otherwise unwanted parrots who were never socialized enough to be indoor pets. They are just as beautiful and interesting to watch as your exotic waterfowl and heritage poultry.
