Step 1: Whisk together the salt, pepper, chile powder, and paprika in a large bowl. Add the chicken pieces and use your hands to toss until evenly coated; set aside.
Step 2: Heat oil in a large pot or Dutch oven over medium-high heat until it begins to smoke slightly. While the oil heats, toss the chicken with flour to coat.
Step 3: Shaking off the excess flour from the chicken, transfer the pieces to the hot oil and fry until golden brown on all sides.
Step 4: Fry the chicken in two batches so you don't overcrowd the pan - the chicken should be in one layer, and not on top of each other.
Step 5: Reserve the leftover flour. Use a slotted spoon to transfer the chicken to a deep plate, leaving the oil in the pan.
Step 6: Add the remaining flour to the oil and cook, stirring constantly, for about 5 minutes to create a medium-brown, peanut butter-colored roux.
Step 7: Add the onion, celery, poblano, and garlic and cook 5 minutes more.
Step 8: Add the chicken, tomatoes, broth, thyme, bay leaves, and hot sauce. Simmer over low heat for 45 minutes, stirring occasionally, until thickened (refer to NOTE II) to a light gravy and the chicken is tender enough to shred with a fork.
Step 9: Taste and adjust seasonings, adding more salt or hot sauce as desired.
Step 10: Serve over rice, garnished with scallions.
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