Cook the chicken. Place the chicken in the instant pot with the onion, garlic, water, and salt. Cook the chicken on high pressure for 10 minutes and then let the pressure naturally release for 5 minutes. You can also bake the chicken breasts. See notes below.
Shred. Once done, shred the chicken using two forks and set it aside.
For the casserole
Prep. Preheat your oven to 375°F and grease a 9X13-inch baking pan.
Make the stuffing. Transfer the contents of the stovetop stuffing boxes to a large bowl. Pour the boiling water over the stuffing and add the butter. Let the mixture stand for 5 minutes before fluffing it with a fork.
Sauté the veggies. Heat the olive oil in a large skillet over medium heat. Add the diced onion, carrots, and celery, season with salt, and sauté until the veggies are tender, about 5-7 minutes.
Put it all together. Stir the cream of chicken soup, cream of mushroom soup, sour cream, chicken stock, frozen peas, ground black pepper, and shredded chicken into the veggies.
Assemble. Pour the filling into the prepared baking dish and spread the stuffing over it in an even layer.
Bake. Bake for 50 minutes at 375˚F.
Serve. Remove from the oven and let it rest for 5 to 10 minutes before serving.