Preheat your oven to 375°F (190°C).
Heat olive oil in a pan over medium heat.
Add shredded chicken and green chilies; season with cumin, salt, and pepper.
Warm corn tortillas in a separate pan or microwave until pliable.
Spread a spoonful of green enchilada sauce in the bottom of a baking dish.
Fill each tortilla with the chicken mixture and a sprinkle of cheese.
Roll up the tortillas and place them seam side down in the baking dish.
Pour remaining green enchilada sauce over the rolled tortillas.
Top with the remaining cheese.
Bake for 25 minutes or until cheese is bubbly and golden.