Prepare all ingredients by chopping and shredding them as necessary.
In a medium bowl, combine cream cheese, ranch dressing, salt, and pepper. Mix until smooth.
Spread the cream cheese mixture evenly over one tortilla, leaving a small border around the edges.
Layer the shredded chicken, carrots, diced bell pepper, and spinach evenly over the cream cheese.
Starting from one edge, carefully roll the tortilla tightly into a log.
Repeat the process with the remaining tortillas and fillings until all are rolled.
Using a sharp knife, slice each rolled tortilla into 1-inch pieces.
Arrange the sliced pinwheels on a platter and serve immediately or refrigerate until ready to serve.