01 - Place cranberries and orange quarters with peel into a food processor.
02 - Pulse until ingredients are finely chopped but not pureed, scraping down sides as needed.
03 - Add granulated sugar and pulse again to blend; taste and adjust sweetness by adding more sugar if preferred.
04 - If using, add chopped apple and nuts; pulse briefly to combine evenly.
05 - Transfer mixture to a bowl, cover, and refrigerate for at least 1 hour to allow flavors to meld.
06 - Present chilled as a bright accompaniment to meats or as a side condiment.