Start by preheating your oven to 350°F (175°C). Prepare a 15x10-inch jelly roll pan by lining it with parchment paper and lightly spraying the paper with cooking spray to prevent sticking.
In a large mixing bowl, combine the eggs, granulated sugar, and vanilla extract. Beat them together using an electric mixer on medium speed until the mixture is thick and pale, about 5-7 minutes.
Gradually add the cooled brewed coffee and peppermint extract to the egg mixture. Mix gently until everything is fully combined.
In a separate bowl, sift together the cocoa powder, all-purpose flour, baking powder, and salt to ensure there are no lumps.
Carefully fold the dry ingredients into the egg mixture using a spatula. Do this slowly and gently, being sure not to deflate the batter.
Pour the batter into the prepared jelly roll pan, spreading it into an even layer with a spatula. Bake the cake in the preheated oven for 12-14 minutes.
While the cake bakes, prepare a clean kitchen towel by dusting it generously with powdered sugar.
Once the cake is finished baking, remove it from the oven and immediately invert it onto the prepared towel. Carefully peel off the parchment paper.
Start rolling the cake while it is still warm, tightly rolling it up in the towel from one end. Allow it to cool completely while in this rolled form.
In the meantime, prepare the filling. In a mixing bowl, whip the heavy cream with powdered sugar using an electric mixer until soft peaks form.
Once the cake has cooled completely, gently unroll it from the towel. Spread the whipped cream evenly over the surface of the cake.
Carefully roll the cake back up without the towel this time. Once rolled, wrap it in plastic wrap and refrigerate it for about 1 hour.
Before serving, unwrap the cake and cut it into slices. For a festive touch, sprinkle the tops of each slice with crushed peppermint candies.
Notes
For best results, allow the cake to cool completely before unrolling.