01 - Combine cranberries, sugar, and water in a saucepan. Bring to a simmer over medium heat, stirring occasionally, until cranberries burst and sugar dissolves, about 8 to 10 minutes.
02 - Remove from heat and stir in freshly squeezed lemon juice and orange zest.
03 - Allow the mixture to cool slightly, then blend until smooth using a blender or immersion blender.
04 - Pass the mixture through a fine-mesh sieve into a bowl to remove skins and seeds. Discard solids.
05 - Refrigerate the strained purée until thoroughly cold, approximately one hour.
06 - Pour the chilled mixture into an ice cream maker and churn according to manufacturer’s instructions until thick and slushy.
07 - Transfer the sorbet to a freezer-safe container and freeze for at least 3 to 4 hours until set.
08 - Allow the sorbet to rest at room temperature for five minutes before scooping and serving.