Place the Lavash bread on a baking sheet or directly on a grill pan if grilling. Evenly spread the tomato basil pesto over the surface of the Lavash, leaving a small border around the edges.
Sprinkle the shredded Fontina cheese over the pesto layer. Distribute the halved cherry tomatoes, artichoke hearts, sliced Kalamata olives, red onion, and red pepper evenly across the pizza.
Crumble the feta cheese on top of the other ingredients.
Bake or Grill
Transfer the pizza to the oven or grill and bake for 8-10 minutes, or until the cheese is melted and bubbly, and the Lavash is crisp around the edges.
Remove the pizza from the oven or grill, sprinkle with fresh minced parsley, slice, and serve hot.
Notes
If you can't find Lavash, use flatbreads like naan or pita. Adjust the cooking time if necessary, as these may cook faster.