A cover device formed of a plastic or similar composition is structured for removable attachment over a bracket of an orthodontic appliance and includes a main plate with an outer front face, and top and bottom claws integrally formed with the main plate, curling behind the main plate, and each terminating at distal ends in spaced, opposing relation to each other behind the main plate. The main plate is bowed outwardly from top to bottom to allow the claws to flex away from each other and snap over the bracket upon application of inward pressure on the front face while the claws are pressed against the bracket, to thereby attach the cover to the bracket, with the bracket concealed from view behind the cover device. The front face may include an ornamental design. In another embodiment, the cover device includes a bottom tab for cooperating engagement with a removal tool.