Heat oil in bottom of pressure cooker. Add celery, garlic, and cut up chicken breasts. Brown on all sides of chicken.
Add chicken broth to pressure cooker. Seal pressure cooker and cook for 15 minutes at 15 lbs. pressure. Let pressure drop naturally.
Open the pressure cooker and remove the chicken to a bowl. Add the package of white chicken chili seasoning mix to the pressure cooker and stir well. Add the beans, corn, the cilantro cooking base, and the jar of salsa verde. Let simmer while you work with the chicken.
With two forks, pull the chicken apart. Add it back into the pressure cooker, seal and cook for an additional 15 minutes. Let pressure drop naturally. Garnish with fresh cilantro and serve with shredded cheese.