To know for sure if yours has one and where it is, you should:
* Check your owner's manual: This is the definitive source. It will tell you if your specific trim level includes a cabin air filter and where it's located if it does.
* Look in the glove box area: Some Silverados that *did* have a cabin air filter had it behind the glove box. This often required partial or complete glove box removal.
* Consult a repair manual specific to your year and model: A Haynes or Chilton manual will provide detailed diagrams and instructions.
* Search online forums: Search forums dedicated to Chevy Silverados (such as on sites like SilveradoSierra.com) for "2001 Silverado cabin air filter location." Other owners might have documented their experience.
If you don't find it, it's likely your truck wasn't equipped with one from the factory. Adding one would require a professional installation, as it wouldn't be a simple bolt-on.