Preheat the oven to 400'.
Cut the squash into ¼' coins. If there is a thicker end or seedy part of the squash, scoop the seeds out with a spoon, halve and slice those parts. Pile the zucchini on a rimmed baking sheet and drizzle with olive oil, sea salt, dried herbs, red pepper flakes and lemon zest. Toss to coat and spread evenly on the baking sheet. Roast in the upper third of the oven for 25 minutes, tossing once halfway through, until you get a few browned edges. Remove to cool completely.
While the squash bakes, cook the pasta in well salted water until al dente, or following package instructions. Drain and return to the pot. Let it cool to the touch, and then add the creme fraiche, half of the grated cheddar, a handful of chopped parsley, season with salt and pepper and the fresh grated nutmeg. Stir everything to mix well. Add the zucchini and give it one more stir.
Butter a baking dish and transfer the pasta mixture into it. Sprinkle the remaining goat cheddar, parmesan and another few generous pinches of parsley over the top. Pop the dish in the oven for 20 minutes until the cheese is melted and bubbly. Let it sit for 5-10 minutes to set before serving.
