Afghan Chicken Recipe. Super creamy and a different style of recipe for cooking chicken. This chicken dish goes great with rice, roti, or naan.One of the most popular dishes in Afghani cuisine is Afghani Chicken. Because in Ancients days Afghanistan is a trade route between Europe and Asia, afghan food is heavily impacted by Indian, Mongolian, and Persian influences. It includes major Afghan crops like wheat, maize, barley, and rice.