Put the chicken in a large bowl. Add the parsley, rosemary, and lemon juice. Season with salt and pepper and toss to combine. Cover and put the chicken in the refrigerator to marinate for 3-5 hours. Remove the chicken from the refrigerator and set aside.
Preheat the oven to 375°F. Add the garlic cloves to a baking dish. Sprinkle the thyme over the top of the garlic and drizzle with the olive oil. Sprinkle with sea salt, place in the oven, and cook for 30 minutes.
Remove the garlic from the oven. Carefully transfer the garlic and olive oil to a food processor, add the additional 2 tablespoons olive oil, and puree for 1 minute. Transfer the mixture to a small pot and keep warm over low heat, until the chicken is done cooking and then remove from the heat.
While the garlic is cooking, prepare the chicken. Heat the olive oil in a large skillet over medium-high heat. Add the chicken, skin side down, and cook for 8 minutes. Turn the chicken over and cook for approximately 9 minutes; make sure the chicken is cooked through.
Transfer the chicken to a serving platter. Spread the garlic sauce over the top of the chicken and sprinkle with the thyme. Season with freshly ground black pepper, if desired. Serve immediately.