Cook the linguine according to package instructions until al dente.
While the pasta cooks, season the chicken breasts with salt and pepper on both sides.
Heat olive oil in a large skillet over medium-high heat and add the chicken.
Cook the chicken for about 7-8 minutes per side, or until cooked through, then remove from the skillet and let rest.
In the same skillet, add butter and garlic; sauté until fragrant.
Add the lemon juice and zest to the skillet, stirring to combine.
Slice the rested chicken and return it to the skillet, along with the drained linguine.
Toss everything together and add chopped parsley, adjusting seasoning if necessary.