In a mixing bowl, combine peanut butter, soy sauce, chicken broth, honey, rice vinegar, garlic, and ginger. Whisk until smooth and creamy. The mixture should be thick but pourable. Taste and adjust sweetness or saltiness if needed before adding it to the slow cooker.
Place the chicken breasts in the bottom of your slow cooker in a single layer. This ensures even cooking and helps the meat absorb all the flavors. Pour the prepared peanut sauce evenly over the chicken, making sure each piece is well coated.
Cover and cook on low for 4–5 hours or high for 2–3 hours. The chicken should be fully cooked and easy to shred with a fork. Avoid overcooking, as chicken breasts can dry out if left too long.
Once cooked, remove the chicken from the slow cooker and shred it using two forks. The meat should be soft and fall apart easily. Return the shredded chicken back into the sauce so it absorbs all the rich flavors.
If the sauce is thinner than you like, mix cornstarch with water to create a slurry. Stir it into the slow cooker and let it cook for an additional 10–15 minutes. This will give the sauce a creamy, thick consistency.
Stir in fresh lime juice for a burst of brightness. Serve hot, topped with chopped peanuts and cilantro for added texture and freshness. The final dish should be creamy, savory, and slightly tangy.