Rinse the rice under cold water until clear. Cook in chicken broth according to package directions. Set aside.
Heat olive oil in a large skillet over medium heat. Add onion and sauté for 2–3 minutes until soft.
Stir in garlic and cook for 1 minute until fragrant.
Season chicken with paprika, salt, pepper, and thyme. Add to skillet and cook 5–6 minutes per side until golden and cooked through (165°F internal temperature). Remove and set aside.
Lower heat and pour in heavy cream. Stir to combine with pan drippings. Simmer gently.
Add peas if desired and cook 2–3 minutes.
Return chicken to skillet, nestling into sauce. Simmer 5 more minutes to blend flavors.
Serve chicken over cooked rice, garnished with parsley.