1. In a medium saucepan over medium-low heat, bring cream to a simmer. Stir in sugar. Cook, stirring, until sugar is dissolved. Let cool to room temperature.
2. In a food processor or blender, puree strawberries with orange juice until smooth. Stir into cream mixture along with orange zest. Cover and refrigerate until completely cold or overnight.
3. Transfer to an ice cream maker and freeze according to manufacturer's instructions.