Make a mixture of warm water and several drops of mild liquid detergent. Stir until the water becomes sudsy.
Saturate the microfiber cloth with the solution and squeeze out the excess. Dab the hairspray stain repeatedly, using more of the solution, as needed. If you can no longer detect the scent of the hairspray on the suede, the stain has been successfully lifted.
Allow the suede to air dry completely.
Brush the area with a soft bristled brush. Use light pressure and quick back and forth sweeps to recondition the suede.