Peel and slice the carrots and parsnips into 1/2-inch thick rounds, then roughly chop the yellow onion and celery stalks.
Place the sliced carrots, parsnips, onion, celery, and minced garlic into the bottom of a 6-quart slow cooker.
Season the chicken breasts evenly on both sides with the sea salt, black pepper, dried rosemary, and dried thyme.
Arrange the seasoned chicken breasts in a single layer on top of the vegetables in the slow cooker.
Drizzle the extra virgin olive oil over the chicken and carefully pour the chicken bone broth into the side of the pot so the spices remain on the meat.
Cover and cook on low for 6 to 7 hours or on high for 3 to 4 hours until the chicken is tender and the root vegetables are soft.
Remove the chicken to a cutting board, slice or shred into large pieces, and return to the pot to mix with the juices and vegetables before portioning into five containers for the week.