Pat salmon fillets dry and season both sides with salt and pepper.
Heat one tablespoon of olive oil in a non-stick skillet over medium-high heat.
Place salmon in the pan skin-side up and sear for 4 minutes until golden brown.
Flip the fillets and cook for another 3 to 4 minutes until the internal temperature reaches 145 degrees Fahrenheit.
In a small whisking bowl, combine the remaining olive oil, lemon juice, Dijon mustard, and a pinch of salt and pepper.
In a large mixing bowl, combine the arugula, shaved fennel, and red onion.
Toss the greens with half of the prepared vinaigrette.
Divide the salad base between two plates, place a salmon fillet on each, and drizzle with the remaining dressing and fresh dill.