Place the chopped onions, sliced carrots, and halved baby potatoes in the bottom of the slow cooker.
In a small mixing bowl, whisk together the olive oil, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper.
Rub the herb and oil mixture evenly over all sides of the chicken breast.
Place the seasoned chicken breast on top of the vegetables in the slow cooker.
Carefully pour the chicken broth around the sides of the chicken, ensuring the herbs stay on the meat.
Cover the slow cooker and cook on low for 6 to 7 hours, or on high for 3 to 4 hours, until the chicken is cooked through and the vegetables are tender.
Remove the chicken and slice it into thick strips, then serve alongside the herb-infused vegetables and juices.