In a large pot or Dutch oven, heat oil over medium-high. Add chicken, garlic, coriander, celery seeds, ½ teaspoon salt and ¼ teaspoon pepper. Cook, breaking up with a wooden spoon, until crumbled into large chunks and cooked through, about 5 minutes.
Using a slotted spoon, transfer chicken to a small bowl; set aside and reserve drippings in pot (some garlic pieces in pot are OK).
Add carrot, celery and onion to drippings, season with ¼ teaspoon each salt and pepper, and cook, stirring frequently, for 3 minutes. Add broth and bring to a boil over high heat, then reduce heat to medium-high.
Set a colander in pot, resting handles on pot’s edge so bowl of colander is submerged in soup. Stir in pasta and cook, according to package directions, until al dente.
Using dry kitchen towels or pot holders, carefully lift colander out of pot and set in a bowl.
Off heat, stir in reserved chicken and any accumulated juices, 2 tablespoons lemon juice, and 3 tablespoons dil; season with salt, pepper and additional dill to taste.
To serve, divide noodles between bowls then ladle soup over noodles and finish with a sprinkle of lemon zest and additional dill.