Simmer the lemon zest, cinnamon, sugar and milk. Stir constantly without bringing it to a boil.
After 10 minutes, remove from heat and let rest for 5-10 minutes.When the mixture isn’t so hot anymore, you can strain the solids. Let cool further. Optionally, chill in the fridge when the mixture.
In the meanwhile, prepare a matcha shot by combining the matcha powder with warm water.
Fill a glass with ice cubes, pour infused milk up to around 3/4 and top with matcha.