Bring a large pot of salted water to a boil. Add the linguine noodles and cook al dente (according to package directions). Drain and set aside.
Pat chicken dry with a paper towel, cut the chicken breasts into strips, and season with salt and pepper.
To a large skillet over medium heat, add oil. Once hot, add the chicken strips and cook until golden brown (about 3 minutes per side). The internal temperature of cooked chicken should be 165°F.
Transfer the chicken to a bowl, tent with aluminum foil, and set aside.
To the same skillet, add garlic and red pepper flakes. Cook for one minute. Remove from heat.
While off heat, add butter, vermouth, and lemon juice. Return the skillet to the heat. Boil until slightly thickened, scraping up any browned bits from the bottom of the pan.
Add parsley and stir to combine.
Combine the sauce, chicken, and noodles. Toss to combine.
Serve topped with parmesan cheese.