Heat the cherries, sugar, lemon juice, fine sea salt and cornstarch in a heavy bottom saucepan over medium heat.
Continue to simmer and stir until sauce starts to thicken and becomes sticky, this can vary greatly depending on the type of cherry and the water content. When the sauce is thick and sticks to the spoon, it is done. If it gets too thick, add a small amount of water or cherry liqueur to thin it out. Aim for at least 3 minutes to allow sugar to dissolve. This process can take 3-15 minutes.
Remove the cherry sauce from the heat.
If adding liqueur, stir in now.
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Notes
*You can also use frozen cherries, but it may take slightly longer to simmer down to a sticky sauce. **Two tablespoons arrowroot can be substituted for cornstarch. Depending on the type of cherry used and the power of your range, the cook time can vary from only 3 minutes to 15 minutes.