Preheat oven to 400 degrees F; then place your chicken in a roasting pan with a bit of chicken broth on the bottom of the pan to avoid sticking and to make gravy if desired.
In a small bowl combine the oil, lemon zest and pepper. Mix well; then brush on top of the chicken.
Place the pan in the oven on a low rack and cook until the internal temperature reaches 180 degrees F (my preferred temperature for chicken). (Try not to baste the chicken too much, once or twice is fine because you don't want all of that good lemon pepper flavor to come off of the bird completely.)
*Cooking time may vary depending on the size of your roaster chicken. Test after 1 hour using an instant read thermometer.