In 4-quart saucepan, heat oil over medium-high heat. Cook and stir onion and garlic in oil about 2 minutes or until onions are tender.
Add chicken broth; heat to boiling. Add carrots; reduce heat to medium. Cook about 5 minutes or until carrots are tender. Add remaining soup ingredients; increase heat to high. Heat to boiling. Reduce heat to medium-high. Cover; cook 2 to 3 minutes or until vegetables are crisp-tender.
Cut biscuits into fourths. Dip one side of each biscuit piece in parsley. Drop biscuits, parsley side up, onto hot soup. Reduce heat to medium. Cover; cook 10 to 15 minutes or until dumplings are no longer doughy in center.