Black Walnut Tree and Chicken Compost
All parts of the black walnut (Juglans nigra) contain a compound call juglone that can affect the growth of sensitive plants. Here's a list of plants that have shown to NOT be affected by juglone.I believe you could use the compost on these plants: http://www.extension.umn.edu/garden/yard-garden/landscaping/best-plants-for-tough-sites/
I would sift out any parts of the plant (nuts, shells, husks) simple because they do not break down as fast (esp. the nuts and shells) and they will attract squirrels that may damage / dig in your garden.