Start by cutting the chicken into bite-sized pieces. Season them with paprika, black pepper, and salt.
Heat the olive oil in a large pot over medium heat. Once hot, add the diced onion and sauté until translucent, about 3-4 minutes.
Add the minced garlic and sauté for another minute until fragrant.
Increase the heat to medium-high and add the chicken pieces to the pot. Cook until browned, about 5-7 minutes.
Stir in the rice and cook for 1-2 minutes, allowing it to toast slightly.
Pour in the chicken broth and add the dried thyme. Stir to combine.
Bring the mixture to a boil, then reduce the heat to low. Cover the pot with a lid and simmer for about 20 minutes or until the rice is tender and has absorbed most of the liquid.
If using, add the frozen peas and stir into the rice. Cover and let sit for an additional 5 minutes, allowing the peas to heat through.
Fluff the rice with a fork, taste, and adjust the seasoning if necessary.
Serve hot, garnished with fresh parsley if desired.