Place the sauce in a large zip-top bag, add the chicken, seal the bag, and massage to completely coat the chicken with the sauce. Place it in the refrigerator to marinate for at least 1 hour and up to overnight (or cook it immediately if you have less time).
Heat the olive oil in a Dutch oven or stovetop-safe slow cooker insert over medium heat, or in a slow cooker on the sauté setting. Add the onion and cook, stirring, until translucent, 3 to 5 minutes.
Stir in the chicken and sauce from the bag, carrots, sweet potatoes, apricots, water, and salt. Cook, stirring, for 5 to 7 minutes. Reduce the heat to low, or transfer the ingredients or the slow-cooker insert to the slow cooker. Cover and simmer for at least 30 minutes or up to 1 1/2 hours on the stovetop (longer, slow cooking creates a more savory dish) or cook on low in a slow cooker for up to 8 hours or according to the manufacturer’s instructions. If desired, remove the lid for the last 15 to 30 minutes to thicken the sauce.½