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Put the melted coconut oil, 1/2 cup shelled pistachios, and 1/2 cup of the milk in a blender and blend well. You can leave the pistachios a little chunky if you want, or try to blend them so they are very fine.
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Pour into a large bowl and add the other 1/2 cup of milk and sugar. Stir with a wire whisk until the sugar is dissolved.
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Add the 2 cups of cream and stir well.
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Add to your ice cream maker and follow the manufacturer's directions. Just before turning off the ice cream maker, you can add about 1/2 cup shredded coconut and 1/2 cup chopped pistachios if desired.
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Transfer to an airtight container and freeze for several hours or overnight.