Arrange the chicken breasts in a single layer at the base of a slow cooker.
In a medium mixing bowl, whisk together the chunky salsa, ground cumin, garlic powder, salt, and black pepper until well combined.
Pour the salsa mixture evenly over the chicken breasts, ensuring the protein is fully submerged or coated.
Secure the lid and cook on the High setting for 4 hours or the Low setting for 7 hours, until the chicken reaches an internal temperature of 165°F (74°C).
Extract the chicken from the slow cooker and place it on a clean cutting board; shred the meat into small pieces using two forks.
Return the shredded chicken to the slow cooker, add the lime juice, and stir to incorporate the residual cooking liquids.