Drain cherries and pat completely dry with paper towels.
Chop cherries into small pieces.
Preheat oven to 350°F (175°C). Line baking sheets with parchment.
Whisk together flour, baking powder, baking soda, and salt.
Beat butter and sugar for 2 to 3 minutes until fluffy.
Add eggs one at a time, beating after each.
Add vanilla and almond extract. Mix well.
Gradually add flour mixture. Mix on low until just combined.
Fold in chopped cherries and white chocolate chips.
Drop rounded tablespoons onto baking sheets 2 inches apart.
Bake 10 to 12 minutes until edges are set.
Cool on pan for 5 minutes then transfer to wire rack.