Preheat your oven to 400°F (200°C) and line a small baking sheet with parchment paper.
Toss the cherry tomatoes with the extra virgin olive oil and a pinch of sea salt, then roast for 12-15 minutes until they begin to burst and caramelize.
Season the chicken breast with the remaining sea salt and black pepper.
Heat a non-stick skillet over medium-high heat and sear the chicken for 5-7 minutes per side, or until the internal temperature reaches 165°F.
While the chicken cooks, bring a pot of salted water to a boil and cook the potato gnocchi until they float to the surface (about 2-3 minutes), then drain.
Remove the chicken from the skillet and let it rest for 3 minutes before slicing into thin strips.
Reduce the skillet heat to low and add the minced garlic, stirring for 30 seconds until fragrant.
Whisk in the basil pesto, Greek yogurt, and lemon juice until a smooth, creamy sauce forms.
Add the cooked gnocchi and sliced chicken back into the skillet, tossing gently to coat every piece in the green sauce.
Fold in the roasted tomatoes carefully so they remain intact, and serve immediately.