**Brown the Butter:** In a small saucepan, melt the butter over medium-high heat, stirring constantly until it turns golden brown. Quickly transfer the browned butter to a new container to cool and solidify (use the freezer to speed this up if needed).
**Prepare the Icing:** In a large bowl or the bowl of a stand mixer, beat the cooled browned butter and cream cheese on medium-high speed until fluffy, about 2 minutes.
**Add Flavorings:** Add the salt, cinnamon (if using), and vanilla, and mix until combined.
**Add Powdered Sugar:** Gradually add the powdered sugar, 1/2 cup at a time, mixing on low speed until fully incorporated. Increase the speed to medium-high and whip until the icing is light and fluffy, about 2 minutes.
**Ice the Cake:** Spread the icing evenly over the cooled sheet cake. This recipe makes a generous amount of icing, so use as much or as little as you prefer.