In a large bowl stir together flour and salt. Add rabbit and toss to coat. In a heavy kettle heat 2 tablespoons oil over moderately high heat until hot but not smoking and brown rabbit in batches, transferring pieces to a bowl.
Add onion and remaining tablespoon oil to kettle and sauté, stirring occasionally, until softened but not browned. Stir in garlic and rosemary and sauté, stirring, 1 minute. Add broth, wine, and rabbit with any juices accumulated in bowl and simmer, covered, 1 hour, or until rabbit is tender. Remove lid and simmer until sauce is thickened slightly. Stir in parsley.