No you would not need a permit to change interior finishes of your residence.
Similarly, you wouldn't need one to paint walls. The permitting process is to
The rationale behind not requiring permits for minor cosmetic changes like flooring is often based on the principle of balancing safety with practicality. Since flooring changes typically don't involve major structural alterations or pose significant safety risks, local authorities may choose not to require permits for them to streamline the renovation process for homeowners and reduce bureaucratic burden.
Per the LADBS website - A permit is not required where the
work regulated by the City’s building code is valued at $500 or less, unless it affects the structural stability of a building, or public safety, or is done to make a building conform to the requirements of this code for change in use or occupancy.
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