To play DVDs on Linux, users need to ensure they have the right software and libraries installed. Xine, Totem, and Kaffeine are recommended media players, with Xine being the core engine that handles playback. Users may need to install additional libraries like libdvdcss or libdvdread to bypass DVD encryption, which is a legal gray area due to the DMCA in the U.S. While some distributions may include these libraries, others do not, necessitating manual installation. The discussion emphasizes that owning a DVD grants the right to view it, but using software that circumvents copy protection can lead to legal issues. The conversation also touches on the compatibility of various media players with different desktop environments and the importance of having the correct codecs for optimal playback.