1. Preheat the oven to 400°F. Place the tomatillos, onion, jalapeno and garlic on a baking sheet. Drizzle 2 tablespoons oil over the vegetables and toss to coat. Sprinkle with salt and roast until the vegetables soften and start to brown, about 30 minutes. Transfer the vegetables to a blender, add the broth and puree. Season with salt.
2. Heat ½ inch of oil in a Dutch oven over medium-high heat. When hot, add the tortilla pieces in batches and fry until golden brown and crispy, about 1½ minutes per batch. Drain on paper towels and season with salt.
3. Carefully pour out the oil from the pan and return the pan to medium heat. Add about 1½ cups of the tomatillo puree (you will have some leftover) and cook until slightly thickened, 4 to 5 minutes. Add the chicken and toss to coat. Add the tortillas and gently stir until they are coated. Divide the mixture among 4 shallow bowls and top with queso fresco and cilantro and a dollop of sour cream if using.
Chilaquiles is a Mexican brunch dish invented to use leftovers. It is made with day old tortillas (cut or torn into chips) and salsa verde. They are cooked together until the tortillas are slightly softened. Chilaquiles are eaten alone or with beans, eggs or shredded chicken. Queso fresco is a white, mild, fresh Mexican cheese with the texture of fresh farmer's cheese in the US. Queso fresco can be found in many supermarkets, Latin specialty markets or online. It can be substituted with a mild feta cheese.
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