Combine the sugar and orange zest in a bowl. Rub the sugar and lemon zest together with your fingers, until well-combined and fragrant.
Add the salt, orange juice, and cream to the bowl and whisk to combine. Pour into the ice cream maker and churn according to the manufacturer's instructions.
Serve immediately for soft serve ice cream or transfer to an airtight container and store in the freezer until ready to serve.
Notes
Orange sherbet is traditionally made with orange juice and milk, however, we've found that we like it best when made with heavy cream. It's a richer combination of "ice cream" and "sherbet" when made this way.Feel free to make this sherbet recipe with whatever dairy you happen to have on hand though, as it's still tasty when made with just milk or with half and half in place of the cream.