No, you should not put your cooking grids in the dishwasher or self-cleaning oven.

Your cooking grids are full debris and will potentially ruin your dishwasher and the high temperatures of the heat drying cycle could potentially warp your grids. The extreme temperatures of the self-cleaning cycle in your oven could melt your SearMagic grids making them unusable.

DO NOT use oven cleaner on your SearMagic grids either. This will pit the metal and jeopardize the integrity of the grid.