A stabilizer for glassware in an automatic dishwasher has an inside to contact the item of glassware and an outside opposite the inside. A resilient mesh is selectably mountable on an item of glassware to at least partially encircle an outer circumference of the item of glassware to removably retain the item of glassware in the automatic dishwasher. The mesh includes a longitudinal axis defined by the mesh, and channels open on the inside to channel water from between the stabilizer and the item of glassware under an influence of gravity to prevent an accumulation of water in the stabilizer or between the stabilizer and the item of glassware. At least one permanent magnet is affixed to the resilient mesh to selectively magnetically attach the stabilizer and the item of glassware to an adjacent magnetically responsive object disposed in the dishwasher to thereby stabilize the item of glassware in the dishwasher and to cushion the item of glassware from impact.