In a small saucepan, over medium low heat, combine the olive oil, garlic, orange slices, hot peppers, and rosemary sprigs.
Heat to a gentle simmer for about 15 minutes.
Place olives in a jar or bowl and pour over the warm olive oil.
Let cool to room temperature.
Video
Notes
Note - these ready to eat almost immediately, however they get better after sitting for awhile. I store any leftovers in the fridge and use them up within a couple of weeks. If you have any olive oil left over, it's great in vinaigrettes or for dipping bread. Can substitute dried red pepper flakes for the dried chiles (use about ¼ to ½ teaspoon.) Can substitute dried rosemary for the fresh - use about ½ teaspoon.