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Export 5 ingredients for grocery delivery
Step 1
If you’re using chicken breasts, pound to an even 1/2-inch thickness with a heavy skillet or meat pounder. In a large (12-inch) skillet, heat the olive oil over medium-high. Season the chicken lightly with salt and pepper. Working in batches if necessary to avoid crowding the pan, add the chicken to the skillet and cook until browned underneath, about 5 minutes. Flip and cook until cooked through, 2 to 5 minutes. (Breasts will be done before thighs.)
Step 2
While the chicken’s cooking, place 1 cup of water near the stove. (You’ll need it in the next step.) Transfer the cooked chicken to a plate, leaving the skillet over the heat.
Step 3
Reduce the heat to medium. Add the salami and a few generous grinds of pepper. Cook, stirring, until browned and crisp, 3 to 5 minutes. Add the shallot and cook until softened, 1 to 2 minutes. Add the water, increase heat to a simmer and cook, scraping up browned bits, until reduced by half, 3 to 5 minutes. Add the olives, chicken and any juices from the plate. Simmer until the chicken is warmed through, 1 to 2 minutes.
Step 4
Transfer the chicken to serving plates. Remove the skillet from the heat and stir in the butter until incorporated. Taste the sauce; if it’s too salty, add honey or brown sugar to taste. Spoon the sauce over the chicken.