In a medium saucepot, combine the cranberries, orange juice, orange zest, and sugar. Bring it to a boil over medium-high heat, stirring occasionally.
Once it's boiling, reduce the heat to medium-low to prevent it from boiling over, and continue simmering it for 12 minutes while stirring occasionally. Over time, you'll see the cranberries open up and their skin break up, then they'll break down into a thick, preserve-like sauce. Remove the pot from the heat and let the sauce cool to room temperature. It will thicken as it cools.
Keep it as is for a thick cranberry sauce with texture, or blend it until smooth. I like mine somewhere in between, like in the video.
Storage:
Transfer the orange cranberry sauce into a lidded jar or directly into serving bowls. Refrigerate it for up to 14 days. This also means you can make this sauce way in advance.