Set an electric pressure cooker to saute for 10 minutes. Allow to preheat for 2 minutes, add the oil, allow to heat for a minute, then add the chicken. Sprinkle with ¼ teaspoon salt and allow to saute until golden on one side, about 5 minutes. Flip and saute for 3 more minutes.
Add the onion, cabbage, apples, garlic, apple cider, and ½ teaspoon salt, tossing to combine, leaving the chicken at the bottom of the pot.
Secure the lid, select the manual setting, and set it to high pressure for 8 minutes.
When the pressure cooker timer is done, quick release the pressure.
Add the apple cider vinegar, stirring to combine. Taste and add additional salt if desired. Serve the chicken whole or shredded, atop the cabbage, apple, and onion mix.
Stove Top Variation
Heat the olive oil in a large Dutch oven or pot. Proceed with steps, 1 and 2 above.
Bring to a boil, cover, and reduce to a simmer until the chicken is cooked through, about 25-30 minutes.
Uncover, and proceed with step 5 above.
Crockpot Variation
Heat the olive oil in a medium pan over medium heat. Add the chicken and brown on both sides.
Transfer the olive oil, chicken, cabbage, apples, garlic powder, and salt to a 6-quart slow cooker. Cover and cook on high for 4-5 hours or low for 6-8 hours, or until the chicken is cooked and cabbages is soft.
Proceed with step 5 above.