Whisk the flour and salt together in a medium bowl. Pour in the water and whisk lightly, then add the oil.
1 cup flour, ½ teaspoon salt, 1⅓ cup water, 1 tablespoon oil
Continue whisking until the batter is smooth and thin, similar to crepe batter, with no dry pockets of flour left.
Set a stovetop burner to medium-high heat. Dip a silicone or natural bristle pastry brush into the batter and brush a circle inside a cool nonstick skillet.
Place the skillet on the heated burner and use the brush to fill in the rest of the circle. If you notice small holes, dab on a little more batter to patch them.
When the outer edges start to loosen and lift, gently peel the wrapper off the skillet with a spatula or your fingers.
Flip the wrapper and cook for about 30 seconds more, then transfer it to a plate. Repeat until you have a stack of wrappers ready to use.
After transferring each wrapper to the plate, run cold tap water over the back of the skillet to cool it down quickly. Brushing the batter is much easier on a cooled skillet, and it helps you make thinner wrappers.
Notes
Keep the batter thin: A thin batter spreads more easily and makes flexible wrappers.
Start on a cool skillet: Brushing the batter onto a cooled skillet helps prevent clumping and tearing. Cool the skillet down by running cold tap water on the back of the skillet before brushing batter for the next wrapper.
Patch small holes: If you see gaps in the wrapper, dab on a little more batter before it fully sets.
Do not overcook: Cook just until the wrapper releases and lightly sets so it stays flexible for rolling.
Separate as they cool: Use parchment or wax paper between wrappers so they do not stick together later.