Preheat the oven to 350 degrees F (175 degrees C).

Beat butter, brown sugar, and white sugar with an electric mixer in a large bowl until smooth. Beat in eggs, one at a time, then stir in orange zest, vanilla extract, and orange extract.

Whisk flour, baking soda, and cinnamon together in a separate bowl; stir into butter mixture. Stir in oats and cranberries.

Drop rounded tablespoonfuls of dough onto ungreased cookie sheets.

Bake in the preheated oven until golden brown, 10 to 12 minutes. Cool on the cookie sheet for 2 minutes before removing to a wire rack to cool completely.