Add the chicken, broth, enchilada sauce, onion, garlic, chili powder, cumin, and salt to a large slow cooker. Stir to combine.
Cover and cook for 5 ½ hours on LOW or 3 ½ hours on HIGH.
Transfer the chicken onto a large plate or cutting board using a slotted spoon, and shred with two forks.
Add the shredded chicken back to the slow cooker along with the hominy and oregano. Cover and cook for another 30 minutes.
Serve the posole in bowls with lime juice, radishes, cilantro, finely shredded cabbage and other toppings.
Notes
Storing and reheating: Store any leftover pozole in an airtight container in the refrigerator for up to 1 week. To reheat, warm it on the stove over medium heat until hot, or microwave individual portions until warmed through. Pozole also freezes well. Just transfer it to a freezer-safe container and freeze for up to 3 months. Thaw overnight in the fridge before reheating.
Chicken: Boneless skinless chicken thighs also work.
Enchilada sauce: If you absolutely don’t have time to make my homemade authentic sauce, you can use your favorite store-bought enchilada sauce. But a word of caution - I don’t recommend it. It truly doesn’t have the same depth of flavor and just isn’t as tasty as the real stuff.