Breakfast Sausage Patties with Fried Eggs

Let frozen sausage log stand at room temperature for 20 minutes. Unwrap sausage, andslice crosswise into 1/2-inch-thick rounds using a serrated knife. Cook a few patties in a large heavy skillet, preferably cast iron, over medium-high heat until browned and cooked through, 3 to 5 minutes per side. Push patties to 1 side of skillet and cook eggs as desired, adding unsalted butter if needed.