Prepare your garnish: If using chopped pistachios, spread them on a small plate. Moisten the rim of your martini glass with a lemon wedge or water, then dip the rim into the chopped pistachios to coat. Alternatively, prepare a maraschino cherry or have chocolate syrup ready for drizzling.
Chill your martini glass. You can place it in the freezer for a few minutes or fill it with ice water while you prepare the drink.
In a cocktail shaker, combine the vodka, pistachio liqueur, cream, amaretto (if using), and vanilla extract.
Fill the cocktail shaker generously with ice cubes. Secure the lid tightly.
Shake vigorously for about 15-20 seconds. You want the shaker to become very cold to ensure a well-chilled and frothy martini.
Discard the ice from your chilled martini glass (if you used ice water).
Strain the mixture from the shaker into the prepared martini glass. Pour slowly to maintain the creamy texture.
Garnish your Pistachio Martini with a maraschino cherry, a drizzle of chocolate syrup, or a sprinkle of extra chopped pistachios on top. Serve immediately and enjoy!