Preheat the oven to 450°F.
Cover the chicken breasts with plastic wrap on both sides and, using a meat mallet, pound them to an even thickness, about 1⁄2 to 3⁄4 inch thick.
Combine the scallions, ginger, garlic, salt and pepper in a food processor or blender. Pulse a few times to combine.
Add the 2 tablespoons olive oil to the food processor and process into a paste.
Heat the 1 tablespoon oil over medium-high heat in a large ovenproof skillet and place the chicken in the skillet, smooth side down.
Sear the chicken for about 2 to 3 minutes on one side, or until lightly browned and the chicken easily releases from the pan.
Flip the chicken breasts and turn off the burner.
Coat the seared side with the ginger-garlic-scallion paste and sprinkle the nuts on top, pressing on them so they adhere to the paste.
Place the chicken in the oven for 10 minutes, or until it is cooked through (internal temperature reaches at least 170°F) and the nut crust on the top is golden brown.