Check your lawn chairs to see if the fabric can be removed without ruining the chairs. If not, tape garbage bags in place over the fabric to protect it before spraying the metal parts of the chairs with oven cleaner. Cut the garbage bags to the proper size, if necessary.
Put on your face mask, goggles and rubber gloves to protect you while using the oven cleaner.
Spread out several garbage bags on a flat surface, such as a driveway, and place one chair on each garbage bag. This will protect the surface on which you are working from discoloration or damage from the oven cleaner. Spray the areas from which you want to remove the paint with oven cleaner. Let it sit for 15 minutes.
Scrub off all of the paint with a wire brush. Spray with a hose to remove the oven cleaner and residual paint. Pour a small amount of vinegar on a cloth and wipe down the metal. The vinegar will neutralize the chemicals in the oven cleaner. Rinse a second time with the hose. Allow the chairs to air dry.