Add cold heavy cream to a stand mixer and using the whisk attachment, mix on high speed until stiff peaks form.
Scoop whipped cream into a large bowl. Pour in the cream of coconut and use a large spatula to fold it into the whipped cream until the cream of coconut is completely mixed in. Your whipped cream will lose its stiff peaks but should still look fluffy when you're done. You can see photos of what it should look like here.
Pour ice cream into a 9 x 5 loaf pan. Use a spatula to smooth and even out the surface. Freeze overnight. If you desire more texture, you can sprinkle some toasted sweetened coconut flakes on top of the ice cream before serving.
Notes
Cream of coconut is not the same as coconut cream or coconut milk. It's like a sweetened condensed milk but with coconut instead, so make sure you buy a version that is already pre-sweetened. It pours out like a thick syrup and is used often in cocktails. You can get it at Walmart, supermarkets, Amazon, and wine & spirit stores like BevMo. If you have trouble finding it, look for it displayed next to other cocktail mixers.
The nutrition information provided are only estimates based on an online nutritional calculator. This is not a comprehensive list of all the nutrients in the recipe (i.e., does not include vitamins, cholesterol, etc). I am not a certified nutritionist. Please consult a nutritionist or doctor for accurate information and any dietary restrictions and concerns you may have.