Prepare the green enchilada sauce: In a large saucepan, heat 2 tbsp olive oil over medium heat. Once hot, add 2 cups Salsa Verde and cook for 2 minutes until it starts to bubble. Pour in 1 cup chicken broth, stirring to combine. Allow to simmer for 10 minutes, letting the flavors meld together. After simmering, remove from heat and let it cool slightly.
Mix the filling: In a mixing bowl, combine 1 lb. cooked chicken (chopped or shredded), 7 oz. drained mild green chiles, 4 oz. room temperature cream cheese, 1 cup shredded cheese, and season with salt and pepper to taste. Mix well until all ingredients are fully incorporated.
Prepare the baking dish: Preheat your oven to 350°F (175°C). Lightly oil a 9x13 baking dish to prevent sticking. For added flavor, pour a thin layer of the prepared green sauce at the bottom of the dish.
Assemble the enchiladas: Take each tortilla (flour or corn) and layer about ¼ cup of the chicken filling in the center. Roll tightly and place the enchilada seam-side down in the prepared baking dish. Repeat until all filling is used.
Top with sauce and cheese: Pour any remaining green enchilada sauce over the tortillas, ensuring they are evenly coated. Sprinkle the remaining 2-3 cups of shredded cheese over the top.
Bake: Place the enchiladas in the preheated oven and bake for about 30 minutes, until the cheese is melted and bubbly. If you prefer a creamier texture, cover with foil for the first 20 minutes of baking and uncover it for the last 10 minutes.