Heat the olive oil in your pot over medium heat, then lay the pancetta flat in a single layer. Let it cook until it turns crispy and golden, flipping once. Once done, transfer it to a paper towel-lined plate, but leave all those flavorful drippings behind in the pot.
Season your chicken breasts generously with salt and pepper, then coat them lightly in flour. Cook them directly in the pancetta drippings until golden on the outside and cooked through, about 8-10 minutes total. Set the chicken aside on a plate to rest.
Toss the minced garlic into the same pot and let it cook until it turns golden and smells amazing, roughly 2 minutes. If the pot looks dry at this point, add a small splash of olive oil to keep things from sticking or burning.
Pour the white wine into the pot and use your spoon to scrape up all the browned bits stuck to the bottom. This step is where a lot of the deep flavor comes from, so don't skip it. Let the wine reduce by about half before moving on.
Add the chicken stock and heavy cream into the pot, season lightly with salt and pepper, and bring everything to a gentle simmer. This creamy stock mixture is what your pasta will cook directly in, soaking up all that flavor.
Slice your cooked chicken into strips and crumble the pancetta. Stir the pasta, chicken, pancetta, parsley, and red pepper flakes right into the simmering liquid. Cover the pot and let it cook undisturbed for about 10 minutes.
Remove the lid and give everything a good stir. Continue cooking uncovered for another 10-15 minutes, stirring occasionally, until the pasta reaches a perfect al dente texture and the sauce has thickened up nicely.
Turn off the heat and stir in the freshly grated parmesan until it melts into the sauce. Sprinkle some extra parsley on top for a pop of color and freshness, then serve it up while it's hot and creamy.