Yes, a wooden pizza peel is compatible with an Ooni oven. Its compatible with just about every portable pizza oven. Nevertheless, there are a few considerations while using a wooden pizza peel.
Before using the pizza peel, check to see that it is dry and clean. The dough may stick if the pizza peel is moist. Second, make sure you flour-dust the pizza peel before placing the dough. It will lessen the chance of adhering.