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Place the tomatillos, onion, cilantro, garlic, cumin, oregano, 1 cup of the chicken broth, salt, and pepper in a blender. Blend until sauce is smooth.
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Pour the blended sauce into slow cooker along with the remaining chicken broth and chicken breasts.
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Cover, cook at low temperature for 4 hours. Remove chicken breasts, shred with fork, and return to slow cooker, stir in hominy. Cover and cook on low for an additional 30 minutes.
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Serve garnished with desired garnishes, such as avocado, cilantro, radish, red cabbage, and lime.