Preheat the oven to 350 degrees Fahrenheit.
In a large bowl, cream together butter and sugars until light and fluffy. Mix in egg and vanilla.
In a separate bowl, whisk together flour, cocoa powder, baking soda, baking powder, and salt. Add the dry ingredients to wet ingredients and mix until blended.
Scoop dough using a tablespoon or cookie scoop and roll into balls around 1 inch in diameter. Place on ungreased or parchment paper-lined cookie sheet. Using your thumb, press down in the center of the ball to make an indentation. Add one cherry and pie filling to fill each of the indentations on the cookie dough.
Bake for 8-9 minutes or until the cookie is just cooked through. Allow to cool on a cookie sheet for 5 minutes before removing to a cooling rack to finish cooling.