Just so you know, for anyone who is looking to grow parsley from seed, it takes a while. My Italian Flat Leaf Parsley seeds were spread over some potting soil and have been left under fluorescent lights 16 hours a day and kept moist regularly.
I'm happy to finally see some signs of life! Today (day 15) is the first sign of a sprout. This is pretty regular from my experience of about 4 years growing it this way.