Pour the apple cider into a large saucepan and set over medium heat.
Add the cinnamon sticks, cloves, and orange peel to the cider.
Gently warm the mixture, bringing it to a simmer—look for small bubbles forming around the edges, and enjoy the fragrant aroma filling the kitchen.
Reduce the heat to low and let the cider simmer gently for about 20 minutes, stirring occasionally to ensure the spices infuse evenly.
Remove the saucepan from heat and let it sit for a couple of minutes to settle the flavors.
Use a strainer to remove the cinnamon sticks, cloves, and orange peel, pouring the clear, spiced cider into mugs.
Serve the hot cider in mugs, garnished with extra orange peel or a cinnamon stick if desired, and enjoy the cozy, aromatic warmth.