Generally, the best thing to do would probably be to replace it with a cheap nuetral colored carpeting. However if that is not an option, and if it is in great shape like you said, there are a few things you could try:
1. Paint with a neutral color such as eggshell that matches with it. (I would go with light/white unless you find a different color that matches better)
2. Offset it with matching/contrasting area rugs
3. Add artwork to the walls & enhance the window treatments to take the focus off the floor.
4. Add plants in corners (real or realistic)
They key is to make it look like the orange carpeting is part of the design and make sure it doesn't look outdated or in need of updating.