Place the beef in a large bowl. Add the flour and toss to coat.
Heat the oil in a 12-inch skillet over medium-high heat. Add the beef and cook until it is well browned, stirring often. Add the onion, garlic, parsley, mushrooms, and thyme and cook until the mushrooms are tender. Add the carrots, broth, and wine to the skillet and heat to a boil. Reduce the heat to low. Cover and cook for 20 minutes or until the beef is cooked through.