In a small bowl, use a fork to mash together goat cheese, ricotta, garlic, and nutmeg until smooth; season with salt and pepper, and stir to combine.
Assemble ravioli: Arrange 6 wrappers on a work surface, keeping remaining wrappers covered with a damp paper towel. Spoon 1 level tablespoon filling in the center of each wrapper. With a fingertip, wet edges of wrappers with water. Fold a corner of each wrapper over filling to form a triangle, and press edges to seal. Flatten area around filling to eliminate air pockets. Repeat with remaining wrappers and filling. Place on a baking sheet with parchment paper. (If making ahead, cover ravioli with plastic wrap; refrigerate up to 1 day. Or freeze on sheet for 1 hour, then transfer ravioli to a large resealable freezer bag; freeze up to 1 month.)
Bring a large pot of salted water to a boil; reduce to a bare simmer. Drop ravioli into water, one at a time, stirring them gently to prevent sticking. Cook until al dente, 5 to 7 minutes. (Cooking time is the same for frozen ravioli.)
Using a slotted spoon, transfer ravioli to a paper-towel-lined baking sheet, and arrange in a single layer to drain briefly. Divide between two plates; drizzle with parsley sauce, and serve immediately.
Freeze on sheet for 1 hour, then transfer ravioli to a large resealable freezer bag; freeze up to 1 month. Cooking time is the same for frozen ravioli.