Pour the apple cider into a medium saucepan and place it over medium heat.
Add the cinnamon sticks, whole cloves, and orange zest to the cider. These aromatics will infuse the drink with warm, spicy flavors.
Bring the mixture to a gentle simmer, listening for small bubbling sounds and watching as steam rises from the surface. Avoid boiling to prevent bitterness.
Stir in the brown sugar, allowing it to dissolve fully into the warm cider, adding a hint of sweetness.
Let the cider simmer gently for about 15 to 20 minutes, during which the flavors meld and the aroma intensifies.
Gently strain the cider into mugs, using a fine sieve or slotted spoon to remove the spices and zest, resulting in a clear, fragrant beverage.
Serve hot, garnished with extra orange slices or cinnamon sticks if desired, and enjoy the cozy, aromatic warmth.