Preheat your oven to 250 degrees F and use 1 Tbsp of the olive oil to grease two rimmed sheet trays.
Use a mandolin slicer to slice the zucchini into rounds, cutting them as thin as possible.
Place the zucchini on a paper towel in a single layer and let sit for about 10 minutes to remove any excess moisture.
Place the zucchini in a large bowl and add the remaining olive oil, salt and cheese. Toss everything together well.
Spread the zucchini on the two prepared sheet trays, making the slices in a single layer (a little overlap is okay but you do not want to pile them high on top of each other.
Place the trays in the preheated oven and cook for one hour. Check the chips and if they are browned, remove them from the oven. If they still appear wet, cook for another 20 minutes and check again.
Use a spatula to remove the chips from the sheet tray then enjoy while warm!