Determine the kind of texture you have on your wall. The most common wall textures are orange peel and knockdown textures. An orange peel texture looks like fine splatters, while a knockdown texture has a flattened appearance.
Purchase a wall texture aerosol spray to match your existing wall texture from a home improvement store.
Spray the wall texture on a piece of cardboard to check whether the texture matches your wall. Depending on the spray texture product, you might be able to change the intensity of the spray by adjusting the nozzle. Also try different distances from the wall. If the texture doesn't match your wall, get another product for a closer match.
Spray the texture on the repair patch on the wall. If you don't like how it looks on the wall, scrape it off with a putty knife and reapply the texture. If you have an orange peel texture, stop when you are happy with how the sprayed texture looks.
Drag a putty knife across the sprayed area after you let the new texture dry for one to two minutes if you want to match a knockdown texture. A knockdown texture has a flattened appearance when compared to an orange peel texture, which is more like a splatter. Letting the spray-on texture dry a little before dragging the texture gives you a splatter effect; this effect has flat plateaus, rather than pointed peaks.