Remove the chicken from the marinade and pat dry. Use a meat mallet to pound chicken to an even thickness. Season with salt, pepper, cumin, and oregano. Preheat the oven to 375°F. Heat an oven safe pan over high heat and drizzle with olive oil. Add the chicken to the pan and cook for about 5 minutes per side.
Once leftover fiesta lime chicken has cooled, you can transfer them into an airtight container. Afterward, store the leftovers in the refrigerator to eat within 3 to 4 days.