Preheat your oven to 350°F (175°C).
In a large bowl, cream butter and granulated sugar until light and fluffy, about 3-5 minutes.
Add the egg and vanilla extract, mixing until well combined.
In another bowl, whisk together flour, baking powder, and salt.
Gradually add the dry ingredients to the butter mixture, mixing just until combined.
Fold in the softened cream cheese until well incorporated.
Gently fold in the chopped strawberries, being careful not to squish them.
Scoop tablespoon-sized portions of dough onto a parchment-lined baking sheet, spacing them about 2 inches apart.
Bake in the preheated oven for 12-15 minutes, or until the edges are lightly golden.
Let cookies cool on the baking sheet for 5 minutes before transferring to a wire rack.
To prepare the icing, mix softened cream cheese with powdered sugar until smooth.
Drizzle the icing over the cooled cookies and allow to set before serving.