It is more authentic using chicken breast halves with bones and skin but I wanted to lighten it up a bit. You can top with finely chopped onion, diced avocado, sour cream, tortilla chips and lime wedges- if desired.
In a large pot bring the chicken stock and water to a boil. Add the chicken breasts and simmer over very low heat until they’re tender and cooked through, about 25 minutes. Transfer the chicken breasts to a plate and shred the meat.
In a blender or food processor combine the halved tomatillos with the quartered onion, poblanos and jalapeños, smashed garlic, chopped cilantro and oregano. Pulse until coarsely chopped; stopping occasionally and scraping down the side. With the machine on, add 1 cup of the broth and puree until smooth. Season with salt and pepper.
In a large deep skillet, heat the vegetable oil until shimmering. Add the tomatillo puree and cook over medium heat, until the sauce turns a deep green, stirring occasionally, about 12 minutes.
Pour the green sauce into the broth in the casserole. Add the hominy and bring to a simmer over moderate heat. Add the shredded chicken to the stew, season with salt and pepper and cook just until heated through.
Serve the pozole in deep bowls, topping with onion, avocado, sour cream, tortilla chips and lime wedges if desired. We just usually eat it with a sprinkling of tortilla strips.