[Nope, they probably don't even have something that can hold him. But Barry will show him all the fun stuff that they've built over the years, like his treadmill and the particle accelerator, and even the metahuman containment cells, which are now mostly empty save for one very angry songbird.]

We helped Iron Heights build metahuman-safe containment cells, so we don't really have to hold them here anymore, but this one isn't actually from our Earth, so we aren't really sure what to do with her yet.