Season the chicken. Lightly pat dry the chicken breasts with paper towels. In a small mixing bowl, combine cumin, oregano, salt, pepper, and chili powder. Rub the spice mixture all over the chicken breasts.
Cook the chicken. Press the Sauté function on the Instant Pot and add 1 tablespoon of olive oil. Add the chicken breasts to the heated olive oil and brown on both sides. You will have to do this in batches; do not try to sear all chicken breasts at once. Remove the chicken and set it aside.
Sauté the onions. Add the diced onions to the Instant Pot; if needed, add the rest of the olive oil. Cook the onions for 2 minutes. Stir in the garlic and cook for 15 seconds.
Deglaze the pot. Stir in the chicken broth and deglaze the bottom of the Pot while stirring. Add in the orange juice and lime juice; bring to a simmer.
Pressure cook. Return the chicken to the Instant Pot. Cover and set to Pressure Cook on High for 10 minutes (12 minutes for chicken thighs). Then, do a Natural Pressure Release.
Shred the chicken. Remove the lid and transfer the chicken breasts to a cutting board. Shred the chicken.
Get ready for the oven. Set your oven to BROIL and line a baking sheet with foil; lightly grease it with cooking spray. Once the chicken is shredded, spread it out on the baking sheet. Remove ¼ cup of the liquid from the Instant Pot and add it to the chicken; stir to combine.
Crisp up the edges. Broil the chicken for 5 minutes; stir. Continue to broil for 5 more minutes.
Serve. Remove from oven and let stand for a few minutes before serving in tacos, quesadillas, over nachos, etc.
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Notes
Chicken Variety: Feel free to use chicken thighs instead of chicken breasts, but you'll have to cook them a couple of minutes longer.
Spices: Don’t hesitate to tweak the spice mix to suit your taste. Adding a touch of smoked paprika or chipotle can elevate the flavor.
Rest: Allow the chicken to rest a bit before shredding; it helps retain the juices.
Broiling: Don’t skip the broiling step if you like crispy meat.
Toppings: Offer toppings like sliced avocados, pico de gallo, sour cream, or cheese to customize the tacos.
Tortillas: Warm the tortillas before serving.
Store leftovers in an airtight container in the fridge. It makes an excellent filling for quesadillas or topping for salads the next day.