When do peony grow sprouts? The answer is usually on middle spring and check out what zone does your state belong. Chances are, peonies might and might not survive in your area. I’m lucky that I live here in Pennsylvania and I can grow peonies in my backyard. They are so awefull gorgeous when blooming! They have large and sweet scented blooms. In order to grow peonies in your garden, buy some roots at your nearest Garden center or ask some from your neighbor. Plant it during Fall where you can still water it a few weeks before the last frost.