Prepare the Verde Sauce. Roast tomatillos, poblano peppers, jalapeños, garlic, and onion until charred. Blend with fresh cilantro, cumin, and a splash of chicken broth until smooth.
Cook the Chicken. In a large pot, boil chicken breasts or thighs in chicken broth until cooked through. About 15 minutes. Remove, shred, and set aside.
Simmer the Broth. Add the verde sauce to the pot of chicken broth. Stir in hominy and let it simmer for 15 minutes to marry the flavors.
Combine and Heat Through. Return shredded chicken to the pot. Simmer for an additional 10 minutes.
Serve with Toppings. Ladle the pozole into bowls and garnish with your favorite toppings like shredded cabbage, radishes, and a squeeze of fresh lime.