Puel has known Black on a personal level for many years so I'm sure he would have had more input than that. In fact, I remember an interview from one of Puel or Black saying they had a conversation back when they were both working in France that if Puel ever came to manage in England, he would love to work with Black. Here it is. Roughly 30 seconds in:
"I'd played against Claude quite a few times when I was playing in France, and we had a mutual friend, so we had met up a couple of times in France, and he's always sort of discussed if the opportunity arose would I come and assist him if he ever came to England?
“About six or seven weeks ago, the call came to say 'Would I be interested?' and at that point I came down to meet Les [Reed] and that was a kind of semi-interview, discussion-type scenario, and they offered Claude and then me the job.”