Preheat Panasonic Countertop Induction Oven to High on the "Grill" setting.
Place chicken in the grill pan. Cook chicken until an instant-read thermometer inserted into the center reads at least 165 degrees F (74 degrees C), about 10 minutes. Remove cooked chicken from grill pan and chop into small pieces.
Transfer chicken to a bowl and toss with 1/2 cup barbeque sauce to coat.
Open and unroll prepared pizza crust while the grill pan is still hot. Lay flat in the grill pan. Spread remaining barbeque sauce over the crust. Top with sliced onion and chicken; sprinkle Mexican cheese blend on top.
Place pizza in the oven and press "Auto Cook." Select the pizza setting, 12-inch size. Allow pizza to cook until timer goes off, about 13 minutes, or until pizza reaches desired doneness.