Line a rimmed baking sheet with heavy-duty foil and coat with cooking spray.
Make the turkey and squash: Toss the acorn squash, 1 tablespoon olive oil and 1/2 teaspoon each salt and pepper in a large bowl; arrange the squash on one-third of the baking sheet. In the same bowl, combine the parsley, rosemary, poultry seasoning, garlic and 1/2 teaspoon each salt and pepper. Add the turkey and the remaining 1 tablespoon olive oil and toss to coat; arrange the drumsticks on top of the squash.
Make the brussels sprouts: In the same large bowl, toss the brussels sprouts, lemon zest, thyme, olive oil and 1/2 teaspoon each salt and pepper. Add to the baking sheet. Wipe the bowl clean.
Make the sweet potatoes: Rub the cut sides of the sweet potato with the olive oil and season with salt and pepper. Arrange cut-side up on the baking sheet. Combine the butter, brown sugar, cinnamon and 1/2 teaspoon each salt and pepper in a small bowl; set aside for topping.
Make the stuffing: Whisk the broth and egg in the large bowl. Stir in the remaining stuffing ingredients; season with 1 teaspoon salt and a few grinds of pepper. Arrange on the baking sheet. Preheat the oven to 425˚ F.
Make the cranberry sauce: Combine the cranberries and sugar with 2 tablespoons water on a 12-by-18-inch sheet of heavy-duty foil. Fold into a tightly sealed packet and place on the baking sheet.
Place the baking sheet in the oven and roast until the vegetables are tender and a thermometer inserted into the turkey registers 165˚ F, 50 minutes to 1 hour (tent the vegetables with foil if they get too dark). Remove from the oven and mash the sweet potato flesh a bit; top with the spiced butter and pecans. Sprinkle the turkey and squash with parsley.