It is generally safe to run a propane heater indoors for short periods of time, as long as the heater is properly vented to the outside of your home and is being used according to the manufacturer’s instructions.
However, it is important to monitor the heater and the level of carbon monoxide in the room to ensure that it is being used safely.
If you are using a ventless propane heater, it is recommended to only run it for short periods of time (a few hours at most) and to crack a window or door to allow for proper ventilation.
It is also a good idea to install a carbon monoxide detector near the propane heater to alert you if the level of carbon monoxide in the room becomes dangerous.