Preheat your pellet smoker to 500°F with the pizza stone or baking sheet inside.
Roll out your pizza dough on a lightly floured surface. Don't worry if it's not a perfect circle - a rustic shape is part of the charm of homemade pizza. Add a little extra flour as you stretch it to a larger size.
Start pinching the outside inch of the pizza dough, in a circular motion, to outline the crust.
Remove the pizza stone from the pellet smoker and lightly brush it with olive oil.
Place the stretched pizza dough on top and brush the outer crust with olive oil.
Spread the pizza sauce evenly over the dough, leaving a small border around the edges.
Sprinkle the shredded mozzarella cheese over the sauce, followed by your desired toppings. Make sure not to overload the pizza with toppings, as this can make it difficult to cook pizza fully.
Sprinkle half the grated Parmesan cheese over the top of the pizza.
Carefully transfer the pizza to the pellet smoker and smoke it for 10 minutes
After 10 minutes, rotate the pizza and smoke for another 5-10 minutes, or until the cheese is melted, and the bottom pizza crust is golden brown.
Check the pizza frequently while it's cooking to make sure it doesn't burn. If you notice any burning or charring, move the pizza to a cooler part of the smoker.
Once the pizza is cooked to your liking, use the pizza peel or spatula to remove it from the smoker. Transfer smoked pizza to a cutting board, top with fresh parmesan cheese and fresh parsley, and slice and serve when cool enough to eat.