Preheat grill to medium-high heat. Season the chicken breasts with salt, pepper, and paprika. Grill the chicken for 6-8 minutes per side, or until cooked through. Remove from grill and let rest for 5 minutes. Slice into strips.
In a large skillet, heat olive oil over medium heat. Add the onion, bell peppers, and garlic. Cook until vegetables are softened, about 5 minutes.
Add the diced tomatoes, rice, chicken broth, cayenne pepper, thyme, and oregano to the skillet. Stir to combine.
Bring mixture to a boil, then reduce heat to low and cover. Simmer for 20-25 minutes, or until rice is cooked and liquid is absorbed.
Stir in the sliced grilled chicken. Season with salt and pepper to taste.
Serve hot, garnished with chopped fresh parsley.