In a small bowl, mix the oregano, garlic, 1 teaspoon salt, and ½ teaspoon black pepper.
In a 5-quart oven safe dutch oven or deep pot/pan with lid, heat 1 tablespoon olive oil on high heat. Add the chicken thighs top/presentation down and leave them alone for about 10 minutes without touching so they get a nice sear. After 10 minutes or when the skin is no longer sticking to the bottom of the pan, turn the chicken over and sear the other side for another 5 minutes. Remove the chicken to a plate and set aside.
Stir in the rice and half of the parsley into the cooking liquid. Add the chicken back on top of the rice. Cover and place the pot into the preheated oven and cook for 30 minutes. Finally, remove the pot lid and cook for a final 5-10 minutes until the chicken skin is crispy and the internal temperature of the chicken reaches 165 F.