Prepare chicken in pressure cooker 20 minutes. While the chicken is cooking, place broccoli in microwave safe bowl and cook according to package directions, usually 10-15 minutes.
After the broccoli is cooked, mix both cans of soup, half of the Cheez Wiz, broccoli, salt and pepper together. Melt one stick of butter and mix with Savory Herbs stuffing mix.
Press half of the mixture into the casserole dish. By this time the chicken should be ready to shred or chop. Add the chicken to the broccoli mixture and mix well. Place the chicken broccoli mixture on top of the stuffing. Add the rest of the Cheez Wiz and then the stuffing on top. Dot with butter.