Place the eggplant cubes in a colander sprinkle with salt and let them sit for an hour.
In a large oven sage pot add 2 tbsp olive oil. Sauté the eggplant cubes for about 5-6 min. Remove from pan and set aside.
In the same pot add 1 tbsp of olive oil. Add the zucchini cubes, a pinch of salt and pepper and sauté for about 1-2 min. Remove from pan and set aside.
Add 1/3 cup olive oil to the pot. Add the onions and garlic. sauté for about 2-3 min.
Season the chicken with salt and pepper. Place pieces in the pot making room among the onions. Brown chicken all over, about 2-3 min each side.
Add the eggplant, zucchini, smashed tomatoes and two cups of broth. Stir gently but well.
Cover and place pot in the preheated oven. Cook for 30 min.
Remove pot from oven. Add the orzo, stir gently but well and cover. Return to the oven and bake for an additional 30 min.
Uncover pot and cook in oven for 5 min.
Remove from oven, let it sit for 5 min and serve in bowls with lots of grated pecorino romano cheese and fresh ground pepper.
Notes
You can cook giouvetsi on the stove or in the oven. I chose to incorporate both methods, I start sautéing on the stove and when everything is combined it goes into the oven for a slow roast. It comes out perfect every time. I make a big pot of giouvetsi on a Sunday and enjoy leftovers for a few weeknight inners.
Pair it with a green, acidic salad, lots of grated kefalotyiri cheese and a glass of good cabernet.