Shave the fennel, apple and Parmesan. Use a mandoline to very thinly slice the fennel, apple and Parmesan. If desired, you can also chop 2 tablespoons of the fennel fronds to add to the salad too.
Toss. In a large mixing bowl, combine the chopped fennel, apple, Parmesan, arugula, candied pecans, basil and vinaigrette. Gently toss until combined.