Preheat oven to 450 degrees.
In a large cast iron skillet, heat olive oil over medium-high heat. Season chicken thighs with salt and pepper. Cook thighs skin-side down until browned, approximately 7 to 8 minutes.
Remove chicken thighs to an aluminum foil-lined rimmed baking sheet. Bake for 35 minutes skin side up. Remove from oven and set aside.
In the skillet you used for the chicken, add garlic. Cook until browned, approximately 1 to 1 1/2 minutes. Add wine, oregano, and basil, stirring to combine. Bring to a simmer and simmer for 2 minutes, stirring constantly.
Stir in sour cream and chicken broth. Add the chicken thighs back to the skillet and cook for approximately 1 minutes. Garnish with thyme leaves and serve.