Preheat oven to 375°F (190°C).
Season chicken thighs with salt, pepper, lemon zest, and juice.
Heat olive oil in a skillet over medium-high heat.
Brown chicken thighs on both sides (about 5-7 minutes).
Add garlic, thyme, and rosemary, and cook for 1 minute.
Pour in chicken broth, reduce heat, and simmer for 5 minutes.
Add butter and let it melt, swirling to combine with the broth.
Transfer skillet to the oven and bake for 25-30 minutes, until chicken is cooked through.
Serve hot and enjoy the citrusy, herb-filled goodness.