Pour the apple cider into a stovetop pot and place it over medium heat.
Add the cinnamon sticks and whole cloves to the cider, letting them float on the surface.
Using a vegetable peeler or zester, remove the orange zest and drop it into the pot, stirring gently to combine.
Bring the mixture to a gentle simmer, watching for small bubbles and a fragrant aroma to develop.
Reduce the heat to low and let it simmer uncovered for about 20 to 30 minutes, stirring occasionally to release flavors.
Once the aroma is richly fragrant and the mixture is steaming softly, remove the pot from heat and discard the cinnamon sticks and cloves.
Pour the hot, fragrant cider into mugs or a decorative bowl, ready to enjoy or serve for a cozy ambiance.