In a large bowl, toss the potato pieces, 2 teaspoons extra virgin olive oil, 1/4 cup bleu cheese, salt, pepper, 1/3 of green onions, and 1 tablespoon bacon bits; set aside.
Using a basting brush, brush the tops and bottoms of the chicken breasts with the remaining 1 teaspoon oil and set in the middle of a large cooking sheet or stoneware. If using a cooking sheet, spray with cooking spray before placing chicken on the cooking sheet, or cover with parchment paper.
Sprinkle chicken with salt and pepper, to taste. Spread potato mixture around the chicken in a single layer. Place cooking sheet in the preheated oven and cook for 10 minutes.
Flip chicken and potato pieces. Top chicken with remaining 1/2 cup bleu cheese, 1/3 of green onions, and remaining 1 tablespoon bacon bits. Put back in the oven and cook for 15 additional minutes. If you want the potatoes to be browned, you can remove the chicken and let them cook for an additional 5-10 minutes without the chicken.
Serve 1 chicken breast with 3/4 cup potato pieces. Top with remaining green onion.