Preheat the oven to 350 degrees F (175 degrees C). Grease a 9x9-inch baking dish with olive oil.

Measure 1/2 cup of prepared zhoug and spread over the bottom of the oiled baking dish. Place chicken thighs, cut side down, on top of the zhoug. Sprinkle fire-roasted bell peppers over chicken thighs. Using a spoon, drop remaining zhoug sauce in between the bell pepper pieces, covering as much of the chicken thighs as possible.

Bake in the preheated oven until chicken is no longer pink in the center and the juices run clear, about 45 minutes. An instant-read thermometer inserted into the center should read at least 165 degrees F (74 degrees C).