Combine the broccoli, red onion, red pepper, garlic, shelled edamame, gnocchi, and 3 tablespoons of avocado oil in a large bowl. If the gnocchi are stuck together, break them apart.
Add the Italian seasoning, salt, and pepper and stir.
Lay the mixture on the prepared sheet pan and bake for 15 minutes.
Add the tomatoes to the sheet pan and cook for 15 more minutes.
Slice the basil.
Add the remaining oil, lemon juice, and fresh basil, and serve.