Praise be to Allah.
It is permissible to eat peacock meat because the basic principle is that it is halaal. Allaah says (interpretation of the meaning):
“He it is Who created for you all that is on earth”
And it does not come under the same heading as the things prohibited in the hadeeth: The Prophet (peace and blessings of Allaah be upon him) forbade the eating of every animal that has fangs and every bird that has talons. Narrated by Muslim, 3574. And it is not harmful, so it is permissible to eat it. And Allaah knows best.