Heat oil in a large saucepan over medium-high heat. Add shallots to pan; sauté 1 minute. Add chicken to pan; sauté 2 minutes or until browned. Add broth, wine, tarragon, salt, and pepper; bring to a boil. Simmer 5 minutes, stirring occasionally. Add potatoes; simmer 5 minutes or until potatoes are tender. Remove from heat; stir in parsley.