If you have to do anything other than this, adjust your levers and cables so you can do this.
Some times brakes are set up so that there is not enough free play in the system to remove the noodle when the brake arms are squeezed together. loosen the cable anchor on the brake arm and add a tiny bit of slack to the cable, then take up that slack with the adjuster on the lever. Now when you need to remove the wheel, you can turn the adjuster, loosen the cable, and be able to squeeze the brake arms enough to get the noodle off.