Add the heavy cream, confectioners sugar, and peppermint extract to the bowl of a stand mixer, or to a regular bowl.
Whisk together on medium-high speed until whipped cream is soft and fluffy, but not over-whipped. Keep a close eye on the whipped cream, and stop frequently to test the whipped cream.
Use however you desire, and top with the crushed peppermint pieces if you want.
Notes
Choose your peppermint flavor strength:
This peppermint whipped cream is so easy to adjust for the amount of peppermint flavor you want. The recipe below uses ¾ teaspoon peppermint extract. I've found this to be the optimal amount for nice peppermint flavor without being too overpowering. However, you can adjust as needed.
Use ½ teaspoon for a nice light peppermint flavor
Use ¾ teaspoon for a well-balanced peppermint flavor