red leaf flat leaf parsley
by Kiki
(Bellingham, WA, USA)
Doug says that this is a slow plant to get going so without knowing how long you've had it, I can't say. Watch the watering, allow the plant to dry down between waterings. Get the light about 6 inches above the leaves. And feed it half strenght plant food to give it some reason to grow.
Normally, it's a combination of things that slows plants down so I'd question whether it needs to be constantly damp and I'd want a lot of light and some feeding going on to kick it into growth. I'm assuming the soil is good peat based artificial soil and not something you dug out of a garden somewhere. :-)