In a cocktail shaker filled with ice, add the tequila, Cointreau, lime juice, orange juice and olive brine. Shake well to combine and chill the ingredients.
Pour into a martini glass.
Garnish with green olives and a lime wedge.
Notes
Optional salt rim: The drink can also have a salt rim, if you like. However, I think the olive brine adds enough salty flavor to the drink, but you do you! Adjusting the olive flavor: For more olive flavor, add a splash more olive brine. You can also add olives to the glass before pouring in the drink mixture. For less olive flavor, simply use less olive brine. Best olives: Experiment with different types of olives to find your favorite brine and garnish. My faves are Castelvetrano olives. Here are some other varieties to try:
Manzanilla olives: Spanish olives with a nutty, smoky flavor
Castelvetrano olives: Sicilian olives with a large with a buttery, salty flavor
Picholine olives: French olives with a mild, slightly fruity flavor
Losada olives: Spanish olives with a meaty, salty flavor
Make Mexican martinis for a crowd: Stir up a big batch and serve them from a large pitcher. You can also stash it in the fridge to have Mexican Martinis ready to drink all week long. To make 8 drinks, you'll need: