HEAT a large frying pan over medium-high heat. Add the prosciutto in a single layer and cook until curling and lightly browned underneath, about 2 minutes. Flip and let cook until browned on the other side, about 2 minutes more. Transfer the prosciutto to paper towels to drain. Do not wash the pan.
BRING a large pot of salted water to a boil and cook the cheese ravioli according to package instructions.
USE the same frying pan, meanwhile, to melt the butter over medium heat. Add the figs and rosemary. Cook, stirring occasionally, until the butter browns and the figs have softened and caramelized a bit, about 3 minutes. Season with salt and pepper.
USE a spider or slotted spoon to transfer the ravioli to the frying pan. Add 1⁄4 cup of pasta water and simmer, tossing gently, until the sauce has thickened a bit and evenly coats the pasta, 1 to 2 minutes. Transfer to serving bowls and crumble the crispy prosciutto over each portion.