Heat olive oil in a large skillet over medium heat.
Season the chicken breasts with salt and pepper, then add them to the skillet.
Sear the chicken for about 5-7 minutes on each side until golden brown.
Remove the chicken from the skillet and set aside.
In the same skillet, add minced garlic and sauté for about 30 seconds until fragrant.
Add the cherry tomatoes and sauté for another 4-5 minutes until they soften.
Stir in the chicken broth, dried oregano, and dried basil.
Pour in the heavy cream and bring the mixture to a simmer.
Return the chicken to the skillet, coating it in the sauce.
Taste and adjust seasoning with salt and pepper.
Serve hot, garnished with fresh basil.