Bring a large pot of salted water to a boil and cook pasta until al dente
Drain pasta, reserving a small amount of cooking water
Heat olive oil in a large skillet over medium heat
Add sliced chicken to the skillet and cook for 6-7 minutes, until golden and fully cooked
Remove chicken and set aside
Add minced garlic to the same skillet and sauté for 30 seconds until fragrant
Pour in heavy cream and bring to a gentle simmer
Stir in Parmesan cheese and let the sauce thicken slightly
Add peas and cook for 2-3 minutes until heated through
Return chicken to the skillet and toss with the sauce
Add cooked pasta to the skillet, tossing gently to coat
Season with salt, pepper, and more Parmesan if desired
Serve warm