In a large bowl, combine the apples, brown sugar, cinnamon, and salt.  In a large saute pan, melt the butter over medium heat.  Stir in the apples.  Cook for 10 minutes, stirring occasionally.  Combine the apple cider and cornstarch in a small container with a leak-proof lid, and shake vigorously to combine.  Pour over the apples and stir to combine. Turn up the heat to medium-high and continue to cook until liquid is bubbly and thickened, another minute or two.  Remove from heat.  Serve warm.

This freezes well.  Just store the cooled sauteed apples in a plastic freezer container.  When you are ready to serve the apples, let them thaw.  Then gently warm in a pan over medium-low heat.