In a saucepan, whisk together cocoa powder, sugar, and cornstarch until well combined.
Pour in a small amount of milk and stir until a smooth, clump-free paste forms.
Gradually add the rest of the milk while stirring continuously to blend everything smoothly.
Place the saucepan over medium heat and bring the mixture to a gentle simmer, stirring constantly.
Continue to cook until the mixture thickens to a creamy, smooth consistency. The longer you simmer, the denser it becomes. For a classic creamy version, remove from heat once simmering begins.
Pour into mugs and enjoy warm!