Soil and moisture from pot plants can create problems if they come in contact with flooring, especially over long periods.
You should be able to buy pot trays and plastic shields to protect your floor from moisture, abrasion and spillages from indoor plants from your garden centre. Plastic shields are made from barely visible, transparent plastic and can be placed between pots and floor covering. They can also be placed inside woven baskets before pot plants are put inside them to keep the fibres clean and dry.
If you have any old pieces of carpet lying around unused, sections can be used as coasters to prevent pot holders from scratching or marking polished wood floors. Its even a good idea to glue the carpet permanently to the base of the pot-holder to make it easier when moving/adjusting the pot.