Preheat the oven to 425 degrees F. Butter a large baking dish. Combine the chicken, ricotta, 1/2 cup parmesan, 3 tablespoons herbs, 3/4 teaspoon salt and 1/2 teaspoon pepper in a medium bowl. Spoon about 1/4 cup filling across the lower half of each crepe; roll up to enclose the filling. Place the crepes, seam-side down, in the baking dish. Cover with foil and bake until the filling is hot, about 15 minutes.
Meanwhile, melt 3 tablespoons butter in a skillet over medium-high heat. Add the shallot and cook until it softens, about 1 minute. Add the asparagus and cook until just tender, about 3 minutes. Add the chicken broth, lemon zest and the remaining 1 tablespoon herbs and simmer until the sauce is slightly thickened, about 2 minutes. Stir in the remaining 1/4 cup parmesan and season with salt and pepper.
Divide the crepes among plates, top with the asparagus and sauce, and sprinkle with parmesan.
Look for premade crepes in the produce or bakery section of your grocery store.