- In a large skillet over medium heat, brown the gnocchi in the butter for 6 minutes, stirring occasionally. Add the vegetables and cook for 2 more minutes.
- Add the broth and bring to a boil. Simmer until the vegetables and gnocchi are tender. Add the ham and dill. Season with pepper and mix well. Add more broth as needed.
- Serve the gnocchi in shallow bowls. Sprinkle with more dill, if desired. Serve immediately.