Part of a devotional thought on Zeph 3.17:
Further, it means that He will quiet us with His love. We are excitable creatures. All the cares and concerns of life can upset us. We are prone to fear and worry. Our faith tends to dissipate under pressure and we may emphatically express our fears and worries frantically. God, however, quiets us. He quiets us with His loving presence. Although our problems may remain for a while, His loving presence comforts us and quiets us down.