Melt butter in a medium saucepan over medium heat; stir in flour, then pour in broth and let thicken, stirring. Add chicken, peas, mushrooms, carrots, onion and bell pepper. Mix together and bring to a boil.
Preheat oven to 350 degrees F (175 degrees C).
Pour chicken mixture into a 9x13 inch baking dish. Place refrigerated biscuits over top and bake in preheated oven for 25 to 30 minutes, or until biscuits are done.