Step 1: Cook the Chicken and Broth : In a large pot, combine chicken, broth, onion, garlic, bay leaf, and a generous pinch of salt. Bring to a gentle simmer over medium heat. Cook for 20–25 minutes, or until chicken is tender and fully cooked. Remove chicken and set aside to cool slightly. Strain the broth, discard solids, and return clear broth to the pot.
Step 2: Make the Verde Sauce : Meanwhile, place tomatillos, poblano peppers, and jalapeño in a saucepan. Cover with water and bring to a simmer; cook for 8–10 minutes until softened. Drain and transfer to a blender. Add cilantro, parsley, cumin, oregano, lime juice, and a bit of salt. Blend until smooth.
Step 3: Cook the Verde Sauce : Heat oil in a skillet over medium heat. Pour in the blended sauce (carefully — it may splatter) and cook for 5–7 minutes, stirring, until it thickens and deepens in flavor.
Step 4: Combine and Simmer : Add cooked verde sauce to the chicken broth in the pot. Stir in drained hominy. Simmer for 15–20 minutes to let the flavors meld.
Step 5: Shred Chicken and Finish : Shred the cooked chicken using two forks. Add the shredded chicken back to the pot. Taste and adjust seasoning with salt, pepper, or lime juice as needed.