I don’t think you can put these in there, but I looked up instructions on the Amana website and this is what it said to do:

Stubborn stains can be removed by using a mixture of baking soda and warm water to form a soft paste, along with a nonabrasive nylon pad. A mild cleanser without bleach or ammonia can be used. Care must be taken to ensure all cleanser is rinsed away before using the burners. You may also try the following cleaning methods:

1. Coat the stained area with a paste of baking soda and water. Let set one hour to overnight, depending on the stain. Rinse and dry thoroughly.
2. Wet the stained area then coat with baking soda. Spray with white vinegar, which creates a bubbling reaction. Let set for two minutes. Rinse and dry thoroughly.

Deep cleaning is done by placing a container with one cup of household ammonia, the grates, and caps in a sealed plastic garbage bag. Do not pour the ammonia into the bag; the ammonia must remain in a separate container. Do not soak the grates and caps in the ammonia. Let them sit overnight to allow the ammonia fumes to loosen the stains. When you open the bag, be careful not to inhale the fumes. Remove the grates and caps and clean them with water and a mild dish soap or baking soda using a nonabrasive nylon pad. Do not use abrasive cleaners or steel wool because they can scratch the finish. Thoroughly rinse each grate and cap with water and dry before using it.

Maybe others will have some different suggestions to add!