Preheat the oven to 375°F. Lightly grease 12 muffin pan with butter or cooking spray. Set aside.
In a mixing bowl, sift together flour, baking powder, and salt. Set aside.
In a stand mixer (you can also do this with a hand mixer or a whisk), mix the oil, sugar, zest, and juice till smooth.
Next, add the eggs and the vanilla. Finish with the champagne. The mixture should be smooth and fragrant.
Set mixer to medium-low speed and slowly add in the four mixture.
Divide the batter evenly between the 12 cups. Bake for 18 minutes. Use a toothpick to test. If there is raw batter or large crumb allow the muffins to bake a few additional minutes.
Remove muffins from oven and prepare the glaze as they cool. Remove muffins from pan to cool on the counter after 10 minutes.
For glaze, whisk together powdered sugar, zest, juice, and champagne. The glaze should be smooth.
Once cool, dip the top half of the muffin into the glaze. Set on a plate or cooling rack to allow the glaze the set. Enjoy.