Put all ingredients for the marinade in a gallon-sized resealable plastic bag. Add the chicken and marinate for 30 minutes minimum and up to 8 hours.
Make the dressing: add all ingredients for the salad except for the lettuce into a jar with a lid and shake vigorously until combined. If you don’t have a jar with a lid, place everything except the cheese into a bowl and whisk until combined. Stir in the cheese.
Grill the chicken: Outdoor grill - After the chicken is marinated, grill until cooked through. Remove to a plate to rest. Grill pan - Heat a grill pan over high heat for a couple of minutes until steaming hot. Reduce the heat to medium-high and brush with olive oil. Cook the chicken for 5-6 minutes per side until it is cooked through and reached an internal temperature of 165℉. Remove to a plate to rest.
Preheat the oven to 425℉. Lightly grease a baking sheet with olive oil. Roll out the pizza dough and stretch it to fit the pan, pressing the middle down with your fingers. Pre-bake the pizza crust for about 8 minutes in the oven, until starting to turn a golden color.
While the crust is baking, slice the chicken into thin slices or bite-size pieces, your choice!
Remove the pre-baked crust from the oven and brush with about 2 tbsp of olive oil. Sprinkle the cheese over the crust and add the grilled chicken. Return to the oven and bake for another 5-6 minutes, until the cheese is melted and the crust is golden brown.
While the pizza is baking, toss the lettuce with the salad dressing.
Remove the pizza from the oven and arrange the salad on top. Grate some parmesan cheese over the top, slice, and serve immediately.