Add the sliced peaches, sugar, and salt to a saucepan and stir well.
Cook over medium heat for 3–5 minutes until the sugar dissolves and the peaches release their juices. Remove from the heat.
Preheat the oven to 350°F (175°C).
Place the butter in a 9×13-inch baking dish and set it in the oven until completely melted.
In a large mixing bowl, whisk together the flour, sugar, baking powder, and salt.
Stir in the milk until just combined. Do not overmix.
Carefully pour the batter over the melted butter without stirring.
Spoon the peaches and their juices evenly over the batter. Again, do not stir.
Sprinkle generously with ground cinnamon.
Bake the Peach Cobbler for 38–40 minutes, or until the top is golden brown and the edges are bubbling.
Allow the cobbler to cool slightly before serving.
Enjoy warm with vanilla ice cream or freshly whipped cream.