Drain the cooked potatoes and let them sit in the colander for a minute or two to steam off some moisture. Then, tip them back into the hot pan over the lowest heat and let them dry out for about 1 minute, mashing them with a fork and stirring constantly to prevent sticking. You're looking for a light, dry, and fluffy mash.
Remove the pan from the heat and beat in 1 tablespoon of the prepared sauce, along with the 1/2 teaspoon lemon zest, 1 tablespoon parsley, 1/4 teaspoon pepper, and 1 tablespoon chives. Set this aside.