Pat chicken thighs dry and season with salt, pepper, and paprika on both sides.
Heat olive oil in a large pot or Dutch oven over medium-high heat and sear chicken skin-side down for 5 to 7 minutes until golden and crisp.
Flip the chicken and cook for another 4 to 5 minutes, then transfer to a plate and set aside.
Reduce heat to medium and sauté chopped onion in the same pot for 2 to 3 minutes, scraping up browned bits.
Add minced garlic and cook for 30 to 60 seconds until fragrant.
Stir in rinsed rice and toast for about 1 minute, stirring frequently until edges become translucent.
Pour in chicken broth, add dried thyme, salt, and pepper, stir well, and spread rice evenly.
Nestle the seared chicken thighs skin-side up on top of the rice along with any juices.
Bring to a gentle boil, then reduce heat to low, cover tightly, and simmer for 25 to 30 minutes until rice is tender and chicken fully cooked.
In the last 5 minutes, scatter frozen peas over the rice, cover again, and cook until peas are heated through.
Remove from heat and let sit covered for 5 minutes.
Fluff rice gently with a fork, garnish with chopped fresh parsley, and serve warm.