Preheat the oven to 350°F and line a baking sheet with parchment paper.
In a mixing bowl, cream butter and sugar until smooth.
Stir in espresso powder, vanilla extract, and salt.
Gradually add flour and mix until a dough forms.
Roll the dough out on a floured surface to about 1/4-inch thickness.
Cut the dough into desired shapes and place on the baking sheet.
Bake for 8-10 minutes, or until lightly golden at the edges.
Let the cookies cool on a rack.
Meanwhile, melt the chocolate chips and heavy cream in a double boiler or microwave.
Stir in the instant coffee granules until dissolved.
Dip each cookie into the coffee-infused chocolate and let the excess drip off.
Place cookies on a cooling rack to let the chocolate set.