Gather your ingredients and equipment: a small saucepan, a whisk, a mug, and a spoon.
Pour the hot brewed coffee into the saucepan and warm it over medium heat until steaming, about 2-3 minutes, but do not let it boil.
Add the cocoa powder and sugar to the warm coffee, then whisk vigorously until the mixture is smooth, thickened slightly, and frothy, about 2 minutes.
Stir in a small splash of milk or cream for extra creaminess and adjust the temperature if needed.
Drop in a small amount of peppermint extract, starting with 1/4 teaspoon, and taste as you go to achieve your preferred peppermint level.
Pour the hot chocolate mixture into your mug, filling it to the desired level.
Spoon generous dollops of whipped cream on top of the hot drink, creating a fluffy, snowy layer.
Sprinkle crushed peppermint candies over the whipped cream for a festive crunch and extra peppermint flavor.
Finish with a light drizzle of chocolate syrup if desired, for added sweetness and visual appeal.
Allow the toppings to settle for a minute, then enjoy your cozy, festive peppermint mocha, sipping slowly to savor the flavors.