Prepare the vegetables by chopping the carrots, celery, and onion, and halving the baby potatoes.
Place all the prepared vegetables in an even layer at the bottom of the slow cooker.
In a small mixing bowl, whisk together the extra virgin olive oil, minced garlic, rosemary, thyme, sea salt, and black pepper.
Rub the herb and oil mixture thoroughly over all sides of the chicken breast.
Place the seasoned chicken breast on top of the bed of vegetables.
Carefully pour the chicken bone broth into the side of the slow cooker, ensuring you do not wash the herbs off the chicken.
Cover and cook on the low setting for 6 to 7 hours, or on high for 3 to 4 hours, until the chicken is cooked through and the potatoes are fork-tender.
Remove the chicken to a plate to rest for 5 minutes before slicing or shredding, then serve alongside the vegetables and a spoonful of the cooking juices.