Geoff Embree has released a full English translation patch for 7th Dragon 2020 on PSP.
The 520 MB patch can be downloaded via torrent or FilePup.net.
There is a glitch with the name entry screen that forces you to use full-width text, rather than the basic Latin alphabet in the on-screen keyboard, which you can reach by pressing the L button.
7th Dragon 2020 is developed by Imageepoch and was released for PSP in Japan on November 23, 2011. It is a spin-off followup to 7th Dragon. Both titles, as well as 7th Dragon 2020-II, were never localized, but the next game, 7th Dragon III Code: VFD for 3DS, is due out in the Americas on July 12. A fan translation for the original 7th Dragon was released in April 2014.