Whisk together the olive oil and lemon juice in a small bowl. In a separate medium bowl, place the arugula. Spoon a small amount of the dressing onto the arugula and toss to coat. Spread a bed of arugula on a plate and set aside.
In a large bowl, combine the sliced artichokes, fennel, 1/2 teaspoon salt and 1/8 teaspoon pepper with the remaining dressing. Mix well to coat. Mound the artichoke mixture on top of the arugula. Top with the shaved Parmesan and serve.