01 - In a medium saucepan, combine cranberries, sugar, water, and orange zest. Bring to a boil over medium heat, stirring occasionally.
02 - Reduce heat and simmer for 8 to 10 minutes until cranberries burst and the mixture thickens.
03 - Remove from heat and stir in orange juice and lemon juice.
04 - Allow the mixture to cool slightly, then transfer to a blender or food processor and blend until completely smooth.
05 - Strain the puree through a fine-mesh sieve into a bowl to remove skins and seeds, discarding the solids.
06 - Cover and refrigerate until thoroughly cold, approximately 1 hour.
07 - Pour the chilled mixture into an ice cream maker and churn following manufacturer’s instructions, about 20 to 25 minutes, until thick and slushy.
08 - Transfer to a freezer-safe container, cover, and freeze for at least 3 hours until firm.
09 - Let sorbet sit at room temperature for 5 to 10 minutes before scooping to soften slightly.