I make something similar to pizza thats more akin to real pizza than anything made with whole wheat, honey, BBQ sauce, oat, rye, soylent green, etc on my gas grill. I won't call it pizza cause I'm not starting with fresh dough, but damn is it good and it's basically pizza.
I start with some Naan, I like
this kind for my grill pizzas.
I heat the grill up HOT, as close to 500 F as I can get it. I brush one side (the flat one) of the naan with olive oil, typically I make a garlic oil by cutting up some fresh garlic, adding it to the oil and microwaving for ~60 seconds.
I now grill just the side that I oiled, just to crisp it up a bit and add some burn lines, I rotate it a few times to even this out. This will become the top of the pizza.
Grab the naan, close the grill lid, go back inside. Brush the uncooked side with oil, flip over and start topping.
Once your grill pizza is ready to go, make sure your grill is back up to temperature.
This next part is very important and how you do this will vary depending on your grill. A modern gas grill is essentially a convection oven and grill in one. You want the heat from above to melt the cheese/cook toppings and the heat from below to crisp the crust. these two values are typically not in the proportion you want them to be, Here is how I handle this:
I put the grill pizzas on the front of the grill and quickly shut the lid. I then turn off the front burner, I let this cook for about 30 sec-1 minute, then I rotate the pizza (if done right you can get sweet grid lines) and shut the lid. I then hit the gas in the front for another 15 seconds or so, then turn the front gas off again and let cook some more. I keep repeating these steps until it looks crispy on the bottom and the cheese is melted, typically between 4-6 minutes.
I can usually whip up a couple of personal sized pies in under a 1/2 hour using this method and they are
fucking delicious, most of the time is in the prep.
Oh and never call it 'za.