Lay the pineapple rings on paper towels and press gently to remove excess moisture.
Preheat the oven to 350°F (175°C) and line a baking sheet or pan with parchment paper.
In a small bowl, mix melted butter and brown sugar. Spoon small circles onto the baking sheet.
Place pineapple rings over the sugar mixture and add cherries in the centers if using.
In a bowl, beat butter and sugar until creamy. Add egg and vanilla extract.
Mix in the dry ingredients, flour, baking powder, and ¼ teaspoon salt until crumbly.
Stir together pineapple jam and heavy cream, then add to the cookie dough.
Shape dough into balls, flatten slightly, and place over the pineapple rings.
Bake for 15–18 minutes until they are golden.
Let the cookies rest for exactly 4 minutes, then carefully flip them over. You can add a cherry to the tops of these cookies.