I picked the celeriac stalks fresh, then washed them, dried as best as I could with clean dish towels. I placed them on cookie sheets to dry. I flipped them over a few times to speed the drying, but I just had them sitting on the counter in my kitchen. I didn’t use a dehydrator or the oven, they dried within a few days.
Yes, the parsnip seed has to be fresh. When I tried to grow it, it was on a whim. I picked up some seed at the hardware store that caught my eye. I don’t know if it had been packaged for that current year or not. I planted straight into the garden, which is hard to do with seeds that take a long time to germinate. I may have let it get dry, stepped on it too many times, etc. When I try them again in the future, I will start them indoors. I could at least track how long germination takes under a more controlled setting, but I don’t know if they transplant well.