I have a recipe that calls for 2 cups of "parsley greens". Is this referring to chopped parsley?
In most contexts, I would assume that simply means the leaves from the herb parsley.
Depending on where your recipe originates—especially central Europe, or some Asian cultures—parsley root may also be used, so the recipe might be trying to make that clear.
I suspect, however, it really is the recipe author's idiosyncratic style.
Now, as to chopping them, that would depend on how it is used and what the rest of the recipe says.