Yes, you can. However, it’s important to take proper precautions. The rich colors in your oriental rug may not be colorfast, and it’s always wise to do a quick patch test before using a product for the first time on your rug.
You could use a carpet shampoo or detergent; however, you will need to be careful. Some carpet cleaners may bleach or lighten some fibers, and could damage your oriental rug.