Cut each chicken breast in half lengthwise and season both sides with a pinch of salt, black pepper, and smoked paprika. You want the chicken cutlets to be relatively thin.
Heat a large skillet over medium-high heat and add the olive oil. Once the olive oil is hot, add the seasoned chicken and cook on each side for about 3 minutes, until golden brown and cooked through. Remove the chicken.
Turn the heat down to medium-high and add the minced garlic and the halved cherry tomatoes. Sauté for 2 minutes until the tomatoes start to soften.
Add the heavy cream and the basil pesto to the tomatoes and stir until combined. Bring the sauce to a boil, then lower the heat and add the chicken back into the skillet. Simmer the chicken for 2-3 minutes to coat with the sauce.
Season the sauce with salt and pepper, then place the chicken breast on plates. Cover with the sauce and garnish with fresh basil leaves. Enjoy!