Preheat your oven to 375°F. Pour 4 tablespoons of melted butter into a 9x13-inch baking dish and spread evenly.
Place 4 cups of shredded chicken in a single, even layer over the butter. Sprinkle the frozen mixed vegetables over the chicken. Lightly season with garlic powder, onion powder, dried oregano, salt and black pepper. Do not stir.
In a bowl, mix 1 box savory biscuit mix with 2 cups milk until just blended. Pour the batter evenly over the chicken and vegetables without mixing.
In another bowl, whisk together 1 can of cream of chicken soup and 2 cups chicken broth until smooth. Gently pour this mixture over the batter. Do not stir.
Bake uncovered for 45-60 minutes or until the top is golden brown and bubbly. Remove from the oven and let the cobbler rest for 10 minutes before serving. Garnish with chopped parsley if desired.