If the leaves are still green, its fine to dry. Be sure to use a dehydrator as the fastest drying gives the best flavor and color.

Either that or let the plant dry out more and see if will start to come back. The key is to have really well drained soils for these or other dry loving herbs such as thyme and rosemary. The soil forum offers some excellent advise as to how to create well drained long lasting potting media. Something that I have never been able to buy anywhere in 25 years of looking.
Good Luck and Happy Growing David

Lately we've had over 12 inches of rain within 10 day or so.
My oregano plants are without greens. This is not because my garden soil does not have enough drainage but when it keeps raining so much for so long, inevitably the roots will be waterlogged. This tells my why oregano, thyme, sage... like sandy soil. So, here is waht I am going to do: Dig them out and amend the soil with some sand. Compost just won't do.
Cyrus