I buy and even grow many of our fresh herbs. This technique is great for saving them! From Food and Wine we see
How to Dry Herbs in the Microwave
If you like having fresh herbs around, but can’t use them up before they wilt, use your microwave to quickly dry them.
Lay the fresh herbs on a dry paper towel, then microwave them at 20 second intervals—flip them at every interval until they’re dried. This method is especially useful if you want to dry your herbs quickly so you can store them for future use rather than have them hanging around.