Boil salted water for linguine and cook according to package directions while you prepare other ingredients.
Halve zucchini lengthwise and slice into thin half-moons; melt butter in a large skillet and sauté minced garlic for 1 minute.
Add shrimp and cook for 2 minutes per side until starting to pink, then add zucchini and cook 3 minutes more.
Pour in cream, squeeze in lemon juice, and simmer for 2 minutes; toss in cooked drained linguine and parmesan.
Stir until creamy and serve immediately.