In a large skillet, heat the extra virgin olive oil over medium heat. Once the oil is shimmering, add the diced chicken pieces. Season with salt and freshly cracked black pepper. Sauté the chicken for approximately 5-7 minutes, or until it is golden brown and cooked through. Once done, transfer the chicken to a plate and set aside.
In the same skillet, add the halved cherry tomatoes. Sauté the tomatoes for about 2-3 minutes, stirring occasionally, until they begin to soften and release their juices.
While the tomatoes are cooking, fill a pot with salted water and bring it to a boil over high heat. Carefully add the gnocchi to the boiling water and cook according to the package instructions. The gnocchi are done when they float to the surface, which typically takes about 2-4 minutes. Drain the gnocchi and set them aside.
Reduce the heat under the skillet to low. Pour in the heavy cream, stirring continuously to combine with the sautéed tomatoes. Once the cream is warmed through, add the basil pesto sauce, stirring until it is fully blended into the cream.
Return the cooked chicken and drained gnocchi to the skillet. Gently toss everything together, ensuring that the gnocchi are well coated in the creamy pesto sauce. Allow the mixture to cook for an additional 2-3 minutes until heated through.
Remove the skillet from the heat. Sprinkle the grated Parmesan cheese over the top and stir gently to incorporate it into the dish.
Notes
Serve in shallow bowls and garnish with fresh basil and extra Parmesan.