During a recent shareholder meeting Yoichi Wada, CEO of Square Enix, commented that there might not be a PlayStation 3 version of The Last Remnant.
Summary of Wada's comments: "It's tough on the development side of things to say that you'll release a game on multiple platforms but end up not doing so, Square Enix has to think about profitability. If there's a gap in the release of multiple versions of a game, and if the first version didn't necessarily see such great success, they have to think that there won't be a change in performance on a new platform."
This doesn't mean that there's definitely not going to be a PlayStation 3 version, since he didn't mention the game by name.
Source: Andriasang.com