Season the Chicken:
Pat chicken dry and season both sides with salt, pepper, and Cajun seasoning.
Sear the Chicken:
Heat oil in a large skillet or Dutch oven over medium-high heat. Add chicken thighs, skin-side down, and sear until golden brown (about 5–6 minutes per side). Remove and set aside.
Sauté the Vegetables:
In the same pan, add onion, bell pepper, and celery. Cook for 4–5 minutes until softened. Add garlic, paprika, and more Cajun seasoning. Stir for 1 minute.
Add Rice and Optional Meat:
Stir in rice and cook for 1–2 minutes to toast. If using chicken livers or sausage, add and cook until browned.
Add Broth and Return Chicken:
Pour in chicken broth, scrape up any browned bits from the pan, and bring to a boil. Nestle the seared chicken thighs on top, skin-side up. Reduce heat to low, cover, and simmer for 25–30 minutes, or until the rice is tender and the chicken is fully cooked.
Finish and Serve:
Remove from heat and let rest, covered, for 5 minutes. Sprinkle with parsley and green onions before serving.