Sprinkle salt over the eggplant generously and then place the eggplant in a colander to drain for 10-15 minutes.
Rinse under running water, then squeeze dry as much as you can.
Place eggplant in the pressure cooker with onion, garlic, pine nuts, tomato sauce, vinegar, olive oil, basil, thyme, and red pepper.
Stir to combine and season to taste with salt and pepper.
Season chicken breasts with salt and pepper and add to the Instant Pot.
Set the manual cook time to 10 minutes on high pressure.
Let the pressure release naturally for 10 minutes, then release remaining pressure.