Spiralize the zucchinis and pat them dry with paper towels to remove excess moisture.
In a large skillet over medium-high heat, warm 1 tablespoon of olive oil. Add the cubed chicken, season with salt and pepper, and cook until golden and cooked through. Remove the chicken from the skillet and set aside.
Lower the heat to medium, add the remaining olive oil, and toss in the minced garlic. Sauté for about 30 seconds until fragrant.
Pour in the heavy cream, then stir in the Parmesan cheese and Italian seasoning. Allow the sauce to simmer gently, stirring occasionally, until it thickens slightly. Adjust the seasoning with salt and pepper if needed.
Add the zucchini noodles to the skillet with the sauce. Gently toss and cook for 2-3 minutes until the noodles are warmed but still retain their crunch.
Return the cooked chicken to the skillet and mix thoroughly so that everything is evenly coated with the creamy sauce.