Press the SAUTE button. Add oil. When the front of the Instant Pot says "Hot" then add the onions and saute the onions for 4 or 5 minutes.
After the onions have cooked for about 5 minutes, or until they are softened, add the celery, carrots, and garlic. Stir so they cook evenly and to keep the garlic from burning.
Add the chicken and cook with the vegetables for about 5 minutes.
Add the chicken broth, black pepper, poultry seasoning, salt, and Italian seasoning.
Remove 5 refrigerated canned biscuits and slice each biscuit into 8 pieces. The easiest way is to slice them like a pizza into 8 pieces. Then drop each of the pieces into the Instant Pot.
Press CANCEL to cancel the Saute function. Close the Pressure Cooker lid. (See instructions for your specific pressure cooker.) After you close the lid, Press "Pressure Cook" or Manual (depending on your model), and select High Pressure, and adjust the time to 7 minutes, to pressure cook with high pressure for 7 minutes.
After 7 minutes, let the Instant Pot release go through the natural release cycle to release the steam. (See instructions for your specific model.) It may take about 10 minutes.After the steam has been released, and the pin has dropped, or after 10 minutes of a natural pressure release, move the sealing knob to the VENTING position. Carefully unlock and remove the lid.
Stir in the peas and heavy cream.
If you need to thicken the chicken and dumplings, combine 2 tablespoons of cornstarch with 1/4 cup of cold water and stir into the chicken and dumplings.
Add chopped parsley or cilantro for garnish.