Preheat oven to 350 degrees
To a pan over medium heat make the brown butter by melting 4 tbsp butter and allowing it to reach a golden color. This will take about 3-4 minutes. Once it's golden, remove from the heat. It will continue to cook. You want it to be an amber color, not black. If it burns, start over. Set aside.
Pour 1/2 c of the heavy whipping cream to the bottom of a 9x13 pan.
Arrange the cinnamon rolls in the pan.
Evenly pour the brown butter over the rolls followed by the remaining 1/2 c of heavy whipping cream.
Cover with foil and bake in the middle rack for 25 minutes. Remove the foil and bake another 10-15 minutes until the centers are cooked through.
Cool the rolls for 10 minutes while you make the icing.
Add softened cream cheese and softened butter to a mixing bowl and beat until combined. Add the powdered sugar and continue beating until there are no lumps. Add the vanilla, pinch of salt, followed by the icing that came with the cans of cinnamon rolls. Beat until fully combined.
Spread on the cinnamon rolls while still warm and serve.