Moyes made up with Rooney before Man Utd reunion
Kilbane wrote in the Daily Mail: "My understanding is that the pair were reconciled after Rooney left Everton for Old Trafford but of course they didn't have the benefit of working together to show that to everyone else.
"David had to wait until he took over from Ferguson to get that one-to-one contact and clearly had numerous meetings to convince Rooney that he would be a key figure in his team.
"Players will be sacrificed as the club goes through a rebuilding process but he has recognised Wayne's talents and I think he will have been looking forward to working with him again, and getting the best out of him, after giving him his debut at Everton and helping to nurture him in those early days.
"Rooney has been playing in his favourite and most effective position, in the number 10 role, which also happens to be the number on his back. And with good reason. He is the perfect fit."