Preheat that oven to 400°F (200°C). While it's warming up, season your chicken breasts generously with salt, pepper, and Italian seasoning on both sides. Don't be shy with the seasoning – bland chicken is a culinary crime!
Prepare the polenta base. In a medium saucepan, bring the chicken broth to a boil. Slowly whisk in the polenta, reducing heat to low. Cook for about 3-5 minutes, stirring frequently until thickened. (Warning: Polenta bubbles like a witch's cauldron, so watch out for splatter!) Remove from heat and stir in Parmesan and butter until melted. Season with salt and pepper to taste.
Create your cozy chicken nest. Pour the polenta into your baking dish, spreading it into an even layer. Nestle the seasoned chicken breasts on top of the polenta. Drizzle the chicken with 2 tablespoons of olive oil.
Add the caprese elements. Scatter the cherry tomatoes around the chicken. Tuck pieces of mozzarella between the tomatoes and on top of the chicken. Sprinkle with minced garlic.
Bake until bubbly! Pop the dish into the oven for about 20-25 minutes, or until the chicken reaches 165°F (74°C) internal temperature, the cheese is melty and starting to get those gorgeous golden spots, and the tomatoes have begun to burst. (Is your mouth watering yet? Mine is.)
Finish with flair. Remove from the oven and immediately scatter fresh torn basil all over. Drizzle with the remaining tablespoon of olive oil and the balsamic glaze. Let rest for 5 minutes before serving (if you can wait that long).
Serve it up with additional fresh basil and maybe an extra drizzle of balsamic glaze because... why not?