Add rotisserie chicken (bones, skin, and all), carrots, and preserved lemons. If the preserved lemons came in brining water, feel free to add some of the water. Mix.
Cover the ingredients in the pot with water.
Put Instant Pot lid on and pressure cook on HIGH for 5 minutes, natural release for 15 minutes
Carefully open the Instant Pot and with a pair of tongs, pick up the pieces of chicken by the bone and shake until the meat falls off. Discard bones.
If adding pasta, combine with soup right before serving (otherwise it gets soggy)