Preheat oven to 350°F (175°C). Line a baking sheet with parchment paper.
In a medium bowl, whisk together flour, baking soda, and salt.
In a large bowl, beat together butter, brown sugar, and granulated sugar until creamy. Mix in egg and vanilla extract.
Gradually add the flour mixture to the wet ingredients, stirring until combined. Fold in chocolate chips.
In another bowl, beat cream cheese and granulated sugar until smooth.
Scoop 1 tablespoon of cookie dough and flatten slightly. Add 1 teaspoon of cream cheese mixture in the center, then top with another tablespoon of cookie dough. Seal the edges.
Place cookies on the prepared baking sheet and bake for 12-15 minutes or until edges are golden brown.
Notes
Ensure cookies are completely cool before serving for the best texture.