I don't know how bad your afternoon sun is, but mine's pretty brutal. The only time parsley has done well for me is when it's in a sunny location all day until afternoon (maybe 2:30-3? or 3:30?), then it's in shade. I think you need to move it, or it'll go downhill fast. If you don't want to move it, then you might have some luck shading it with a very large potted plant, such as a hibiscus--but if you leave it where it is now, unshaded, I think you'll lose it within the week. Good luck!
If you're afraid of butter, use cream. ~~ Julia Child
As you cook, you enjoy omniscience about food that no amount of label reading can match. Having retaken control of the meal from the food scientists, you know exactly what is in it. (Unless you start w/cream of mushroom soup, in which case all bets are off.) To reclaim control over one's food, to take it back from industry & science, is no small thing; indeed, in our time, cooking from scratch qualifies as subversive. ~~ Michael Pollan