Pour the apple cider into a saucepan and place it over medium heat.
Add the cinnamon sticks, whole cloves, and orange slices to the cider.
Bring the mixture to a gentle simmer, ensuring the heat is low enough to avoid boiling, and let it simmer uncovered for about 15-20 minutes.
During simmering, notice the cider turning fragrant and the spices releasing aroma into the air.
Once simmered and infused, remove the saucepan from heat and use a ladle to strain out the cinnamon sticks, cloves, and orange slices.
Pour the hot, spiced cider into mugs, keeping it warm and steaming.
Optionally, garnish with additional orange slices or a cinnamon stick for presentation.