Preheat large Dutch oven on high heat and add olive oil and half the chicken. Cook for 6 minutes, stirring once. Remove chicken onto a large plate and repeat with remaining chicken. Remove onto a plate and set aside.
You should have olive oil left at the bottom of the pot. Add onion, garlic and carrots. Sauté for 5 minutes, stirring occasionally. Add thyme, oregano, cumin and smoked paprika; cook for another 30 seconds, stirring often.
Add previously cooked chicken with its juices, rice, chicken broth, salt and pepper. Stir, cover and bring to a boil. Then reduce heat to low and simmer for 12 minutes or until rice is cooked, but do not open the lid to peek until the 12 minute mark.
Turn off heat and let chicken and rice stand for 5 minutes. Add parsley and gently stir. Serve hot.
Notes
Store: Refrigerate leftovers in an airtight container for up to 3 days.
Freeze: Fully cook, cool completely and freeze in an airtight container for up to 3 months. Thaw in the fridge overnight.