In a mixing bowl or large measuring cup, whisk together the heavy cream, milk, sugar, salt, and Amaretto (if using) until the sugar dissolves.
Pour the mixture onto a pre-chilled ice cream roll pan.
Scatter the chopped cherries evenly over the cream mixture.
Using the ice cream spatulas, chop and fold the cherries into the cream while spreading the mixture into a thin, even layer.
Continue mixing until the cherries are finely incorporated and the mixture is completely frozen.
Use a flat scraper to gently roll the frozen ice cream into rolls.
Transfer the rolls to serving bowls or cups and top with your favorite ice cream sundae toppings. Serve immediately.