The statement provided is not accurate. The classification system that included Axes (such as Axis I) was used in the DSM-IV (Diagnostic and Statistical Manual of Mental Disorders, 4th Edition) and earlier versions.
In the most recent version, DSM-5 (5th Edition), the multiaxial system including Axis I, II, III, and IV was eliminated, and a new approach was adopted. Now, mental health professionals use a more streamlined diagnostic approach without the separate axes.
Therefore, someone displaying symptoms of an anxiety disorder would not be given an Axis I classification in the current diagnostic framework.