In a shallow bowl, mix together the flour, salt, and pepper.
Pat the chicken breasts dry with paper towels, then coat in the flour mixture.
Heat the olive oil in a large skillet over medium-high heat. Add the chicken breasts and cook until golden brown and cooked through, about 5 minutes per side.
Remove the chicken from the skillet and set aside on a plate.
Add the garlic to the skillet and cook until fragrant, about 1 minute. Add the white wine and chicken broth and bring to a simmer.
Add the cream and prosciutto and simmer for 5 minutes, stirring occasionally.
Add the hazelnuts and simmer for an additional 3 minutes.
Return the chicken to the skillet and simmer until heated through, about 2 minutes.
Serve the chicken with the sauce spooned over the top.
Interesting Facts
Prosciutto is a dry-cured Italian ham.
Hazelnuts are a type of nut native to Europe.
White wine is a type of wine made from white grapes.