Unfortunately, I don’t know of one. The easiest way using your current set-up would probably be to duplicate the remote where it is at the frame you want it to release. Make a unique copy (u if I remember, maybe o) Then unparent “alt-p” the copy of the remote (keeping transformation) and then animate it from there. You would just have to animate the layers for the two remotes so that they seamlessly switch on that one frame into and out of a layer that won’t be shown when you render.
Edit: The issue with animating the layers is that it is hard to maintain the momentum looking realistic if the remote was moving before it got dropped, but it is possible.
For future reference, you can use constraints instead of parenting for something like that, because you can animate constraints on and off.