Load the slow cooker: Place the chicken in the slow cooker.
Add the salsa verde, onion, garlic, cumin, chili powder, oregano, salt, pepper, and chicken broth (if using). Stir to coat the chicken.
Cook low and slow: Cover and cook on Low for 4 to 5 hours, or on High for 2.5 to 3 hours, until the chicken is cooked through and shreds easily.
Shred the chicken: Transfer the chicken to a cutting board and shred with two forks. Return it to the cooker and stir to soak up the sauce.
Brighten with lime: Stir in the lime juice.
Taste and adjust seasoning with more salt, pepper, or salsa verde.
Assemble bowls: Spoon a base of rice, quinoa, or cauliflower rice into bowls. Top with a generous portion of the chicken salsa verde.
Add toppings: Finish with avocado, cilantro, radishes, red onion, shredded lettuce or cabbage, cheese, and a dollop of sour cream or Greek yogurt. Serve with lime wedges.