On the large baking sheet, toss the cubed eggplant with 2 tablespoons olive oil and a sprinkle of salt and pepper. Arrange the eggplant in a single layer. Roast on the middle rack until the eggplant is tender and deeply golden on the edges, about 25 minutes, tossing halfway.
Preheat oven to 400 degrees Fahrenheit with one rack in the middle of the oven and the other rack in the upper third of the oven. Line 1 large, rimmed baking sheet and 1 small, rimmed baking sheet with parchment paper for easy cleanup.