Thank you for your question and I understand your concern.
The shelves are not designed to be placed and cleaned in a dishwasher and I would not take a chance in doing so.
The Owner's manual states:
Unplug refrigerator or disconnect power.
Remove all removable parts such as shelves, crispers, etc.
Use a clean sponge or soft cloth and a mild detergent in warm water.
Do not use abrasive or harsh cleaners.
Hand wash, rinse and dry all surfaces thoroughly.
Plug in refrigerator or reconnect power.