In a 6-quart slow cooker, combine chicken breasts, salsa verde, olive oil, cumin, oregano, and garlic powder.
Cover slow cooker and cook on low for 3 1/2 hours or on high for 1 1/2 hours until the chicken is super tender and falls apart easily.
Once the chicken is cooked, remove from slow cooker and use two forks to shred it.
Return chicken to the slow cooker and stir well to combine with salsa verde. Cover and continue cooking for another 30 minutes until the chicken is enveloped with the sauce.
Season with salt to taste and serve. For an added kick, top with thinly sliced jalapeƱos, radishes, chopped fresh cilantro, and a drizzle of lime juice.