In a medium saucepan, combine the sliced peaches, ¾ cup sugar, and salt.
Cook over medium heat for a few minutes, stirring occasionally, until the sugar dissolves and the peaches release their juices. Remove from the heat and set aside.
Preheat the oven to 350°F (175°C).
Place the butter into a 9×13-inch baking dish and transfer it to the oven while it preheats until the butter has melted.
In a large bowl, whisk together the flour, remaining sugar, baking powder, and salt.
Stir in the milk just until combined. Do not overmix.
Carefully pour the batter evenly over the melted butter. Do not stir.
Spoon the warm peaches and their juices evenly over the batter. Again, do not stir.
Sprinkle the top generously with ground cinnamon.
Bake the Peach Cobbler for 38–40 minutes, or until the top is golden brown and the filling is bubbling around the edges.
Let cool for about 10 minutes before serving.
Enjoy warm with vanilla ice cream or whipped cream if desired.