Slice the chicken: Place one chicken breast on a cutting board. Hold it steady with one hand. Carefully slice horizontally through the thickest part of the breast, almost all the way through, creating two thinner pieces (like opening a book). Repeat with the other chicken breasts.
Crush the crackers: Put the Ritz crackers in a bowl and crush them into fine crumbs.
Make the egg wash: Crack the eggs into a separate bowl. Add 1 tablespoon of soy sauce and whisk them together.
Cook the Chicken:
Heat the oil: Heat 2 tablespoons of oil in a large skillet over medium heat.
Coat the chicken: Using tongs, dip each chicken fillet into the egg wash, making sure it's coated on all sides. Then, immediately coat the chicken with the crushed Ritz crackers, pressing gently to make sure they stick.
Cook the chicken: Place the coated chicken fillets in the hot skillet (don't overcrowd the pan – cook in batches if needed). Cook for about 4 minutes per side, or until the chicken is golden brown and cooked through (internal temperature should reach 165°F).
Rest the chicken: Once cooked, remove the chicken from the skillet and let it rest for a few minutes while you make the dressing.
Make the Miso Ginger Dressing:
Combine ingredients: Put all the dressing ingredients (ginger, garlic, soy sauce, rice wine vinegar, miso paste, sesame oil, avocado oil, and water) into a small blender.
Blend: Blend until the dressing is smooth.
Assemble the Salad:
Dress the arugula: In a large salad bowl, put the arugula and pour the miso ginger dressing over it. Toss to coat the arugula.
Add the vegetables: Arrange the julienned carrots, zucchini, and purple cabbage on top of the dressed arugula.
Add the chicken: Slice the cooked chicken breasts into strips and place them on top of the vegetables.
Serve: Toss everything together gently before serving.