In a bowl, use an electric mixer to beat the sweetened condensed milk, cream cheese, salt and vanilla extract until smooth.
Add the cold heavy whipping cream and beat on medium speed for several minutes until soft, thick peaks form.
Spread half the ice cream mixture into a freezer safe lidded container with a 2-quart capacity. Dollop with half the chilled cranberry sauce and swirl it in. Repeat with the rest of the ice cream and cranberry sauce.
Freeze for at least 8 hours, or overnight, until firm enough to scoop.