Coarsely grate the zucchini by hand or with a food processor.
In a large skillet, heat the olive oil or butter. Sauté the shallots or garlic until fragrant. Add the zucchini and stir. Cook and stir over medium to medium-high heat until the zucchini reaches a spreadable consistency, about 15 -20 minutes. If your mixture gets dry and you begin to burn the bottom, turn the flame down and add a bit of water or white wine, and keep stirring. Eventually the zucchini turns into a nice spreadable salad.
Serve on its own for spreading on bread, challah or anything or top with homemade Dukkah.