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Arrange the chicken pieces in a single layer in a large roasting pan. Squeeze the juice from each piece of lemon over the chicken, catching any seeds in your fingers. Tuck the lemon rinds in with the chicken. Drizzle the olive oil over all.
Sprinkle the garlic over the chicken. Dust the chicken with the fresh oregano, and season it generously with one the suggested Traeger rub, or salt and black pepper. Pour the chicken broth into the pan.
When ready to cook, start the Traeger grill on Smoke with the lid open until the fire is established (4 to 5 minutes). Set the temperature to 350 degrees F and preheat, lid closed, for 10 to 15 minutes.
Roast the chicken for an hour, or until the juices run clear or the internal temperature reaches 165 degrees F on an instant-read meat thermometer.
Transfer to a platter or plates and spoon some of the juices on top. Let rest 3 minutes before serving. Enjoy!