Add the butter and sugars to the bowl of a stand mixer fitted with the paddle attachment and cream together. Beat in the pudding mix, vanilla, and eggs until well combined.
Slowly add in the flour, baking soda, and salt until just combined.
Stir in the pretzels and chocolate chips.
Use a medium cookie scoop to drop balls of dough onto a parchment lined baking sheet 2 inches apart and bake for 8 to 10 minutes.
Remove from the oven and lightly press a pretzel on the top of the cookies, if desired.
Let cool 5 minutes before removing to a wire rack to cool completely.