01 - Melt the butter in a large, deep skillet or Dutch oven over medium heat. Add the chicken pieces, season lightly with salt and pepper, and sauté for 4-5 minutes until just cooked through. Remove from the skillet and set aside.
02 - In the same skillet, add the chopped onion and diced carrots. Sauté for 3-4 minutes until softened. Add the minced garlic and cook for an additional 1 minute until fragrant.
03 - Stir in the rinsed rice, dried thyme, and paprika. Cook for 1 minute, stirring, to lightly toast the rice.
04 - Pour in the chicken broth and bring the mixture to a simmer. Reduce the heat to low, cover the skillet, and cook for 15 minutes.
05 - Stir in the cooked chicken, frozen peas, and heavy cream. Cover the skillet again and cook for another 8-10 minutes, stirring occasionally, until the rice is tender and the mixture is creamy.
06 - Taste and adjust seasoning as needed. Remove the skillet from the heat. Let the dish rest, covered, for 5 minutes before serving.
07 - Garnish with fresh parsley, if desired, and serve.