Yes. Most of the ethanol fireplaces can be used anywhere indoors as long as the wall models are mounted according to directions. Floor and stand models are safe to place on carpeting.
All models should be positioned at least 3 feet from any flammable materials. The room should have windows and be well ventilated.
To calculate the maximum size of the fireplace for your room, follow the instructions in this article: What is the Largest Ethanol Fireplace for your Room?