Season chicken breasts with salt and pepper. Heat olive oil in a large skillet over medium-high heat. Cook chicken until browned on both sides and fully cooked. Remove and set aside.
In the same skillet, sauté minced garlic and halved cherry tomatoes until tomatoes soften.
Pour in heavy cream and chicken broth. Bring to a gentle simmer.
Stir in grated parmesan cheese, dried basil, and dried oregano. Allow the sauce to thicken.
Slice cooked chicken and add it back to the skillet. Simmer in the sauce briefly.
Add cooked penne pasta to the skillet. Toss until pasta is coated in the creamy sauce.
Serve Marry Me Chicken Pasta on individual plates, garnished with fresh basil leaves.