Place flour in a shallow dish.
Sprinkle chicken with salt and pepper.
Dredge the chicken in the flour (reserve excess flour).
Heat 3 tbs of oil in a large skillet over medium-high heat.
Cook the chicken until golden on the first side, 2 to 4 minutes.
Reduce heat to medium, turn the chicken and cook until the other side is golden, 2 to 4 minutes more.
Transfer to a plate.
Add the remaining 2 tbs oil to the pan and heat over medium heat.
Add shallots and cook, stirring, until just starting to brown, 2 to 3 minutes.
Add grapes and cook, stirring occasionally, until just starting to brown, 2 to 3 minutes.
Sprinkle with 5 tbs of the reserved flour; stir to coat.
Add wine and broth; bring to a boil, stirring constantly.
Reduce heat to a simmer and cook, stirring occasionally and scraping up any browned bits, until the sauce is reduced and thickened, about 8 minutes.
Stir in parsley.
Return the chicken to the pan, turning to coat with sauce, and cook until heated through, about 2 minutes.
Serve the chicken with the sauce on top.
Ready in 35 minutes.