Peach trees in a chicken run?

I was wondering if it would be feasible to put a peach tree in a chicken coop.  The concern I have is that the soil would be too rich in nitrogen and phosphorus to support the tree.  If anyone has had experience with fruit trees in chicken coops or has had success in this venture, then I would appreciate some feed back.  Pictures aren't necessary but I would enjoy looking at them if you have them.

Thank you

In one of my chicken paddocks, I have a few peach trees that are establishing rather well. The chickens do scratch around the roots so it is important to protect smaller trees with something like a loop of chicken fencing but bigger trees do just fine with the scratching.