buzz,
Are you referring to your use of the Hamilton Beach countertop convection oven?
I haven't done much experimenting using just the racks in my home oven, but when I was playing around recently with making take-n-bake pies, which were placed on parchment paper, one of the pies did droop at one edge and fall between the openings in the rack. The next time, I used a drier dough and a larger piece of parchment paper and I had no problem with it. Both pies were 16 inches. A smaller pie might be safer, with or without parchment paper, and especially if the crust is pre-baked since the crust will not be burdened with toppings at the outset.
Peter