Pat chicken dry and season on both sides with salt and pepper.
Place the chicken into the pressure cooker and add the water.
Close the lid and turn the valve to seal. Pressure cook for 15 minutes. Allow to natural release for 10 minutes. Then carefully turn the valve to release the remaining steam. Allow the chicken to rest for 5 minutes.
Shred the chicken and refrigerate. Freeze if not using within 2 days. Store the broth in an airtight container in the refrigerator.
After the broth has chilled, scrape off the fat that has settled at the top and store in a separate container in the refrigerator for up to 5 days or freeze for up to 3 months.