Open the shutters completely. Once open, locate the hinges that attach the shutters to the support piece of wood.
Unscrew the hinges and remove the shutters. Make sure you support the hinges as you unhinge them and remove each shutter in one piece.
Unscrew the hinges from the piece of wood that is attached to the wall. Make sure all hinges are completely removed before proceeding.
Remove the support beams from the wall. This can be done in several ways depending on how they were attached to the wall to begin with. If the piece was screwed to the wall, simply unscrew them. If they were nailed to the wall, try to pull the nails out with the hammer. If that doesn't work, use a pry bar and pry the piece from the wall.
Remove any additional hardware from the wall. If the pieces were screwed in, there may be additional anchors in the wall that need to be pulled out. Fill any holes with spackling paste with a putty knife.