Peel the pears, quarter them lengthwise, and core. Slice pears thinly and place in a saucepan with the apple cider and ginger. Add a pinch of salt.
Bring to a boil, reduce heat, and simmer until pears are tender, about 15 minutes.
Dissolve cornstarch or arrowroot in 1/3 cup cold water and add to the simmering pears, stirring until the sauce is thick and clear.
Remove from heat and stir in almond extract. Serve warm or cold.