No, it is not recommended to spray Lysol or any other disinfectant directly onto dishes or cookware that come into contact with food. Lysol and similar disinfectants are designed for surfaces and objects, not for direct food contact.
If you need to sanitize your dishes, it is best to follow proper dishwashing practices using hot water and dish soap. The high water temperature and the action of scrubbing with soap are effective in removing dirt, bacteria, and other contaminants from dishes. Additionally, if your dishwasher has a sanitizing cycle, you can use that to further ensure cleanliness.
It's important to read and follow the instructions provided by the dishwasher manufacturer and the dish soap manufacturer to ensure that you are using the products correctly and achieving proper cleaning and sanitization.