Preheat your oven to 400°F (200°C) and lightly grease a large 9x13 inch baking dish.
Toss the halved baby potatoes with 1 tablespoon of olive oil, salt, and pepper. Arrange them on one side of the prepared baking dish.
Rub the chicken breasts with the remaining 1 tablespoon of olive oil, season generously with salt and pepper, and place them on the other side of the baking dish.
In a medium mixing bowl, whisk together the heavy cream, chicken broth, minced garlic, fresh thyme, fresh rosemary, and grated Parmesan cheese until well combined.
Pour the creamy herb sauce evenly over the chicken breasts, ensuring they are fully coated.
Bake uncovered for 25 to 30 minutes, or until the chicken reaches an internal temperature of 165°F (74°C) and the potatoes are fork-tender.
Remove the baking dish from the oven and let the chicken rest for 5 minutes in the sauce.
Garnish with additional fresh herbs and a sprinkle of Parmesan cheese before serving the chicken and potatoes with the pan sauce spooned over the top.