Wood works much, much better for putting the pizza in. The dough sticks badly to metal, in my experience. But metal is much easier to use for moving the pizza and taking it out.
I use metal, but make sure it's slotted otherwise you cake your dough up with flour/semolina/cornmeal. My personal go-to is semolina. You don't need much and excess falls away more readily than flour.
Wood or metal, it's more about technique at the end of the day.