Step 1: Brown the Chicken Sausage: Heat a large Dutch oven or deep skillet over medium-high heat. Add the chicken sausage and cook until browned on both sides, about 5-6 minutes. Transfer the sausage to a plate. Don't clean the pan. Those browned bits left behind are exactly what you want.
Step 2: Sear the Chicken: Add avocado or olive oil to the pan. Pat the chicken pieces dry with paper towels, then season with salt and black pepper. Add the chicken to the hot pan in a single layer. Work in batches if necessary so you don't crowd the pan. Cook until browned, about 5-6 minutes. The chicken does not need to be completely cooked through yet. Transfer it to the plate with the sausage. Why sear instead of simply simmering the chicken? Browning develops deeper savory flavors, and the browned bits left in the pan become part of the cooking liquid.
Step 3: Cook the Holy Trinity: Reduce the heat to medium. Add the onion, bell pepper, and celery. Cook for 6-8 minutes, stirring occasionally, until the vegetables are softened and beginning to turn golden around the edges. Add the garlic and cook for about 30 seconds, until fragrant.
Step 4: Build the Flavor Base: Sprinkle the flour over the vegetables and stir well. Cook for about 1 minute to remove the raw flour flavor. Add the paprika, thyme, oregano, cayenne, bay leaves, and Worcestershire sauce. Stir everything together. The vegetable mixture will look thick at this point. That's exactly what you want.
Step 5: Add the Rice and Stock, then Simmer: Rinse rice in a strainer under cold water until the water runs clear. Stir in the rinsed rice and cook for about 1 minute. This brief step coats the rice in the seasoned vegetable mixture before the liquid goes in. Pour in the chicken stock, scraping the bottom of the pan with a wooden spoon to loosen the browned bits. Return the chicken and sausage to the pan. The rice should be submerged in the cooking liquid. Taste the liquid before covering the pan and adjust the seasoning if needed. Bring everything to a gentle boil, then reduce the heat to low. Cover the pan tightly and simmer for 20-22 minutes, or until the rice is tender and the liquid has been absorbed. Don't lift the lid while the rice cooks. I know. You want to peek. Don't. The trapped steam is helping the rice cook evenly, and repeatedly removing the lid lets that steam escape. If the rice is nearly cooked but the pan looks dry, add a splash of warm chicken stock or water, cover, and continue cooking.
Step 6: Rest the Rice: Remove the pan from the heat and let it sit, covered, for 5 minutes. This allows the rice to finish steaming and gives the moisture time to redistribute. Remove the bay leaves and fluff the rice gently with a fork.
Step 7: Garnish and Serve: Top with green onions and fresh parsley. Serve with hot sauce for anyone who wants extra heat.