Andriasang has a huge stack of screenshots and artwork showing off the lovely-looking PSP version of Final Fantasy III. One of them even has English text, which suggests die-hard fans will be able to easily import this game, if there's a delay with Square getting it over here, if they bother to do so.
I imported FFI this way, when that came out, and had no trouble playing it as nature intended (joke). Looks like this will complete the series for PSP owners. While Vita owners will have to wait for PSOne compatibility and wait for the next Final Fantasy sale to get their hands on all the series, with the FFX HD remaster to round things off neatly.