Add the chicken pieces to a large mixing bowl and season all over with the Essence. Add the flour and mix well until the chicken is evenly coated. Shake the chicken to remove any excess flour, then set it aside on a plate.

Heat the oil in a 12-inch or larger skillet over medium-high heat. Add the chicken pieces to the pan, in batches if necessary, and cook until golden brown on all sides, about 8 minutes. Transfer the browned chicken pieces to the crock of a 6-quart slow cooker.

Add the onion, bell pepper, celery, and jalapeño to the skillet and cook for 2 minutes, stirring to incorporate the browned bits from the bottom of the pan. Add the garlic, crushed red pepper, thyme, cayenne, and bay leaves and cook for 1 minute longer. Add the tomatoes, breaking them up into pieces with the spoon, the tomato paste, Worcestershire, sugar, and salt. Add 1/2 cup of the reserved tomato juice and bring to a simmer. Cook for 1 minute, then transfer the hot sauce to the slow cooker. Cover and cook the chicken on low until very tender, about 3 hours. Remove the bay leaves if desired.

Serve over steamed rice and garnish with the parsley.