how long to cook asparagus on stove
1 Melt butter in a skillet over medium-high heat. 2  Stir in the olive oil, salt, and pepper. 3  Cook garlic in butter for a minute, but do not brown. 4  Add asparagus, and cook for 10 minutes, turning asparagus to ensure even cooking.eady In. 1  Melt butter in a skillet over medium-high heat. 2  Stir in the olive oil, salt, and pepper. 3  Cook garlic in butter for a minute, but do not brown. 4  Add asparagus, and cook for 10 minutes, turning asparagus to ensure even cooking.