There are two ways I like to prepare fresh zucchini for a baked recipe. First, you can set a colander over a bowl and press zucchini down in the colander with a clean hand or paper towel, letting water drip out into the bowl. Or second, you can lay out a clean towel, set your shredded zucchini in the middle, pull up all four corners, and twist over a bowl or sink to remove the excess water.