What zone are you in ? And where are you planting them?

You cand start parsley by direct sowing in the garden or in a cold frame.
Parsley is a semi-cool crop that love to grow in cool spring weather out in the garden.

carol, this might be one of those examples when a picture would really help. 'White-ish spots' on the leaves isn't much to go by.

Perhaps they are getting "baked" in too hot of a window?

I agree with rhizo, we are only guessing. A picture would help much!

FataMorgana