Follow these simple steps to create a delicious and satisfying Chicken Cobbler:

1. Prepare the Chicken and Vegetables: Begin by cutting your chicken breasts into bite-sized pieces, about 1-inch cubes. This ensures they cook evenly and are easy to eat within the cobbler. Next, chop the onion, slice the carrots, and chop the celery. Mince the garlic cloves and set all your prepared vegetables aside. Having your ingredients prepped and ready will make the cooking process much smoother and faster.
2. Sauté the Vegetables and Chicken: Heat the olive oil in a large oven-safe skillet or Dutch oven over medium heat. Once the oil is shimmering, add the chopped onion, carrots, and celery to the skillet. Sauté the vegetables for about 5-7 minutes, or until they begin to soften and the onion becomes translucent. Stir them occasionally to prevent sticking and ensure even cooking. Next, add the minced garlic to the skillet and cook for another minute until fragrant. Be careful not to burn the garlic, as it can become bitter quickly.
3. Brown the Chicken: Add the cubed chicken to the skillet with the vegetables. Increase the heat slightly to medium-high and cook the chicken until it is browned on all sides. Browning the chicken adds depth of flavor and helps to seal in the juices, keeping it tender. It doesn’t need to be cooked through at this point, as it will finish cooking in the oven.
4. Create the Sauce: Sprinkle the flour over the chicken and vegetables in the skillet. Cook for 1 minute, stirring constantly, to cook out the raw flour taste and create a roux, which will thicken the sauce. Gradually pour in the chicken broth, stirring continuously to prevent lumps from forming. Bring the mixture to a simmer, stirring occasionally. As it simmers, the sauce will thicken slightly.
5. Season the Filling: Stir in the frozen peas, dried thyme, dried rosemary, salt, and black pepper into the simmering sauce. Taste and adjust the seasonings as needed. You may want to add a little more salt, pepper, or herbs to suit your preference. Simmer for another 5 minutes, allowing the flavors to meld together and the peas to thaw and heat through.
6. Prepare the Biscuit Topping: While the filling is simmering, preheat your oven to 400°F (200°C). In a large bowl, whisk together the flour, baking powder, and salt for the biscuit topping. Cut in the cold butter using a pastry blender or your fingertips until the mixture resembles coarse crumbs with some pea-sized butter pieces remaining. The key to flaky biscuits is keeping the butter cold, so work quickly and avoid overmixing. Gradually add the cold milk, mixing gently with a fork just until the dough comes together. Do not overmix; a slightly shaggy dough is perfect.
7. Assemble and Bake the Cobbler: Drop spoonfuls of the biscuit dough evenly over the hot chicken and vegetable filling in the skillet. You can create a rustic look by simply dropping mounds of dough, or for a more polished appearance, you can use a cookie scoop or your hands to shape the biscuits slightly. Leave a little space between the biscuits to allow for even baking. Place the skillet in the preheated oven and bake for 20-25 minutes, or until the biscuits are golden brown and cooked through and the filling is bubbly.
8. Cool and Serve: Remove the Chicken Cobbler from the oven and let it cool for a few minutes before serving. This allows the filling to thicken slightly and makes it easier to serve. Serve hot and enjoy the comforting flavors of your homemade Chicken Cobbler!