No, you should not put a cookie sheet on top of a stove burner. Stove burners are designed to generate heat for cooking purposes, and placing a cookie sheet directly on top of a burner can lead to several issues:
Fire hazard: If the cookie sheet is made of materials that are not heat-resistant, it can catch fire when exposed to the direct heat of the stove burner.
Damaged cookie sheet: Even if the cookie sheet is heat-resistant, direct contact with the high heat of the burner can cause warping, discoloration, or damage to the sheet, making it unsafe or unsuitable for future use.
Uneven cooking: Placing a cookie sheet directly on top of a burner will result in uneven heating. The areas directly in contact with the burner will become extremely hot, while other parts of the cookie sheet may not heat up at all.
If you want to use a cookie sheet for baking or cooking in the oven, it should be placed inside the oven, not on top of a stove burner. The oven provides even and controlled heating, which is safe for baking cookies and other food items. Always follow the manufacturer's guidelines and recommendations for using cookware to ensure safety in the kitchen.