Cut the beef chuck into bite-sized pieces, trimming off excess fat if necessary.
Peel and dice the carrot and parsnip into uniform chunks. Finely chop the quarter onion, garlic cloves, and celery.
Heat the olive oil in a heavy pot or Dutch oven over medium-high heat. Sear the beef pieces until browned on all sides.
Add the chopped onion, garlic, and celery to the pot, cooking until they start to soften and become fragrant.
Stir in the diced carrot and parsnip, then pour in the low-sodium beef broth. Bring the mixture to a simmer.
Reduce the heat to low, cover, and allow the stew to slowly cook for 1.5 to 2 hours, or until the beef is tender and the vegetables are soft.
Season with salt, pepper, and any desired herbs during the last 15 minutes of cooking. Adjust seasoning to taste.
Serve warm and enjoy the rich, hearty flavors of this slow-cooked stew.