In a large pot, add chicken, tomatillos, jalapeño pepper, and 1 Tbsp salt. Cover with water and bring to a boil.
Reduce heat to medium and simmer 25-30 minutes until chicken is cooked through.
Drain, reserving the broth, and set aside chicken, tomatillos, and jalapeño.
While chicken is boiling, in a large skillet, heat olive oil over medium heat.
Add cilantro, green onions, garlic, and green pepper, and cook until softened, about 10 minutes.
Transfer to blender and add tortillas, 3 cups of the reserved broth, tomatillos, and jalapeño and blend until smooth.
Transfer to a large pot and bring to a boil. Reduce heat to medium, add 1 tsp salt and lime juice, and simmer until thickened, about 10 minutes.
Remove chicken from bone and shred. Add to sauce and simmer another 10 minutes.
Serve over rice with corn tortillas or corn chips.