Heat olive oil in a large skillet over medium heat. Season chicken with salt and pepper. Cook for 5–6 minutes per side, until golden and fully cooked. Remove chicken and set aside.
In the same skillet, sauté garlic until fragrant (about 30 seconds).
Pour in chicken broth and heavy cream, then bring to a gentle simmer.
Stir in egg noodles, cover, and cook for 8–10 minutes, stirring occasionally, until noodles are tender.
Mix in butter and Parmesan cheese until the sauce is creamy and smooth.
Return chicken breasts to the skillet, spooning sauce over the top. Warm for 2–3 minutes.
Garnish with fresh parsley and serve hot.