A lot of books just have an opening page that says something like "For Mom" or something like that. Occasionally, it'll have a message too, like, "For Mom, who always believed in me" or "For my wife, for not letting me give up on my dreams"; If you so wished, you could probably dedicate it to the director or writer of the Trails games, even if it's just a simple "For X" or "To Y". (Some books make their dedications more significant to the work itself, such as Beloved's dedication being to "Sixty Million and More", in reference to all the Africans and their descendants who died in the slave trade, if you'd rather do something in that vein).
If I may be so bold, may I ask why? You certainly don't have to share if you don't wish to, but if what you're worried about is other people believing you've plagiarized, then... Well, it may be worth putting your neck out a little so that other people can see what they think of it.
Another thing worth mentioning is that if you send it to a publisher, they'd probably tell you whether or not a dedication to a series would be acceptable or not, since that's probably a reasonably big part of their domain.