When having to cook multiple things on the stove at once, I multi-task and time it so that everything will finish at the same time. Here's what I do for this meal:
1. I preheat the skillet for the chicken and saucepan for the alfredo sauce at the same time. The chicken doesn't need any attention except for flipping after six minutes.
2. When making the alfredo, it only takes a minute or so for the cream to reach a soft-boiling point and thickens shortly after adding the cheese, so I set the heat to the lowest setting at that point to keep warm while everything else continues to cook.
3. I preheat the skillet for the zucchini noodles when I'm ready to flip the chicken.
That's it! Easy peasy.