Preheat the oven to 400°F (200°C). Grease a 12-cup muffin tin or line it with paper liners and set aside.
In a large bowl, whisk together the Bisquick mix, milk, melted butter (or oil), eggs, garlic powder, salt, and black pepper until smooth.
Fold the shredded chicken, squeezed-dry zucchini, shredded cheese, and sliced green onions into the batter until evenly combined.
Spoon the mixture into the prepared muffin cups, filling each cup to the top.
Bake for 20 to 25 minutes, or until the muffins are cooked through and lightly golden on top.
Let the muffins cool for a few minutes, run a knife around the edges to loosen, and remove from the tin. Drizzle with hot honey if desired and serve warm.