Of course it’s better to name your parrot by yourself. Others’ names are not as friendly as naming them by yourself. Besides, the name of your pet doesn’t need to be fancy, just say it smoothly.
For example, this is my reference for you, although it may also be a negative teaching material
The first one on the left is edamame (I love eating edamame, and edamame is green)
The 2nd one on the left is mint (I love the mint flavor, mint is green)
The 3rd one on the left is raindrops (it rained the day I brought it home)
The yellow one is called Black Girl ( The white bird is called the black girl, I am happy)
╮(╯▽╰)╭The name for the pet depends on the owner’s preference