Bring a saucepan of water to boil; cook pasta according to package directions. Drain and set aside.
Meanwhile, heat oil in a medium high-sided skillet over medium-high heat. Add chicken, salt and pepper; cook, stirring occasionally, until just cooked through, 5 to 7 minutes. Add garlic and cook, stirring, until fragrant, about 1 minute. Stir in wine, lemon zest and lemon juice; bring to a simmer.
Remove from heat. Stir in spinach and the cooked pasta. Cover and let stand until the spinach is just wilted. Divide between 2 plates and top each serving with 1 tablespoon Parmesan.
