How to make a green apple martini to make this green apple martini you need a martini glass. Put some ice in the glass to chill it down. Set the martini glass with the ice to the side. Take a mixing glass and put some ice in the glass. Add one ounce of vodka, one and a half ounces of apple schnapps, a dash of melon liquor, and a splash of sweet and sour mix. Stir it up rather than shaking it. Dump the ice out of the chilled martini glass. Put a strainer on the mixing glass. Drop a maraschino cherry in the martini glass as a garnish. Take the mixing glass and pour the mix into the martini glass through the strainer. That's it you have a great green apple martini.