In an oven-safe pan, melt the butter over medium-high heat. Brown the chicken breasts, 1 minute each side. Season with salt and pepper. Remove the chicken from the pan.
Add the garlic to the pan and sauté for a few seconds. Add the cherry tomatoes, basil, chicken broth, and cream. Let boil for 5 minutes, or until sauce is reduced.
Place the chicken breasts over the sauce and top with cheese. Cook in the oven for 30 minutes, or until cheese is golden and bubbly.