Add orange juice, lemon juice, and sugar to a large bowl and stir until combined.
Whisk the cream into the juice mixture.
Whisk in the orange extract and food colouring if you want to use them.
Chill the liquid for at least two hours, then pour it into an ice cream maker and churn, following the manufacturer's instructions.
Scoop ice cream into a freezer-proof container and freeze for at least two hours or until hardened.