In a large skillet, heat the olive oil over medium-high heat. Add the chicken pieces and sausage slices. Cook until the chicken is browned and cooked through, about 5-7 minutes. Remove from the skillet and set aside.

In the same skillet, add the onion and bell pepper. Sauté for about 3-4 minutes until softened. Add the garlic and cook for an additional 1 minute until fragrant.

Stir in the rice, diced tomatoes (with juices), chicken broth, Cajun seasoning, thyme, salt, and pepper. Bring the mixture to a boil.

Reduce the heat to low, cover the skillet, and simmer for 15-20 minutes, or until the rice is tender and has absorbed most of the liquid.

Return the cooked chicken and sausage to the skillet. Stir to combine and heat through for another 2-3 minutes.

Remove from heat and let it sit covered for 5 minutes before serving. Garnish with sliced green onions and chopped parsley.