In a 10- to 12-inch saute pan, heat 3 tablespoons olive oil over medium heat until just smoking.
Add fennel and cook, stirring often until soft and golden, about 8 to 10 minutes.
Remove from pan and set aside.
Slice veal into 1/8th-inch thick slices (or arrange to have your butcher do this for you).
Pound each piece of veal with a meat hammer until nearly paper thin.
Season each piece with salt and pepper and dredge in flour.
Heat remaining 4 tablespoons olive oil in a 12- to 14-inch saute pan until smoking.
Add 4 pieces dredged veal and cook until light golden brown on each side, about 2 minutes.
Remove to plate and continue with remaining pieces.
When second batch is browned, add first batch back into pan and add chicken broth and lemon juice and cook 2 to 3 minutes, until liquid is nearly gone.
Remove veal to platter, add fennel and parsley and pour sauce over meat.