Preheat oven to 425°F (220°C). Line a baking sheet with parchment paper.
Toss the tomatillos, onion, garlic, and jalapeño with 1 tablespoon olive oil and a pinch of salt. Spread on baking sheet and roast for 15-20 minutes until softened with some charred spots.
Meanwhile, season chicken with salt, pepper, and cumin. Heat 1 tablespoon olive oil in a skillet over medium heat. Cook chicken for 6-7 minutes per side until internal temperature reaches 165°F. Rest for 5 minutes, then shred.
Transfer roasted vegetables to a blender. Add cilantro, cumin, oregano, and chicken broth. Blend until smooth. Season with salt and pepper to taste.
Mix shredded chicken with 1/4 cup of the tomatillo sauce.
Reduce oven to 375°F. Spread 1/4 cup sauce in a 9×13-inch baking dish.
Warm tortillas until pliable using microwave or stovetop method.
Place about 2 tablespoons chicken mixture and 1 tablespoon cheese in each tortilla, roll tightly, and place seam-side down in baking dish.
Pour remaining sauce over enchiladas and top with remaining cheese.
Cover with foil and bake for 15 minutes. Remove foil and bake 5-10 minutes more until cheese is bubbly.
Let stand 5 minutes before serving. Garnish with cilantro and serve with lime wedges.
Notes
For a milder version, remove seeds and membrane from the jalapeño.
Tortillas must be warmed before rolling to prevent cracking.
The sauce can be made up to 3 days ahead and stored in the refrigerator.
Nutrition facts are estimates and may vary based on ingredients used, portion sizes, and preparation methods.