Step 1

Place chicken breasts between two sheets of parchment paper or plastic wrap. Using a rolling pin or a bottle, pound each to an even 1/2-inch thickness. Season both sides with salt.

Step 2

In a small bowl, combine the ginger, garlic, cilantro, cayenne and 4 tablespoons oil. Finely grate the lime zest directly into the bowl; reserve the lime. Rub both sides of the chicken breasts with the marinade. Let sit at room temperature for at least 10 minutes.

Step 3

Meanwhile, cut the cabbage lengthwise, core it, then slice crosswise into 1/2-inch-thick strips. Transfer to a large bowl and toss in the cucumber slices, chives and mint leaves.

Step 4

Heat a large skillet over medium-high heat. Pour in 1 tablespoon oil and heat until shimmering, about 1 minute. Place the chicken breasts in the skillet and cook, turning once, until golden brown and cooked through, about 4 minutes per side. Cut the reserved lime in half and squeeze the juice over the chicken; slice the chicken. Transfer the chicken to serving plates and slice.

Step 5

Toss the cabbage mixture with the vinegar and remaining 1 tablespoon oil. Season to taste with salt and serve alongside the chicken.