Cut off the stalks of the fennel. With a vegetable peeler, remove any brown spots, then cut off the bottom ¼" of the fennel. Cut the fennel into ½" thick slices.
Toss the fennel with a ¼ cup olive oil, 1 tsp kosher salt and ¼ tsp black pepper. Chop a ¼ cup of fresh parsley and cut the lemons in half.
Grill the fennel for 5 minutes per side over medium to medium-high heat until nicely charred. Grill the lemon halves (flesh side down) until nicely charred as well (about 3- 5 minutes).
Arrange the fennel and lemons in a large platter. Sprinkle the ¼ cup of oil-cured olives on top. Shave a healthy amount of the Parmigiano Reggiano onto the salad. Drizzle a ¼ or more of the extra virgin olive oil and sprinkle with the fresh parsley. Taste test and if desired add a touch of coarse sea salt to finish. Enjoy!
Notes
Oil-cured olives are quite salty. Rinsing them in a strainer will remove some of their salt.
The entire fennel bulb is edible, but the recipe uses the bigger cut pieces of the bulb.
Good quality parmesan or Grana Padano can be substituted for the Parmigiano Reggiano.