If you only need A ROUTER, then yes, this will work.
But consider that FIOS uses optic fiber and the "router" they provide (most of the times) connects to both the cable and the optic modem simultaneously, now, some people depending the area get all of the internet service through the optic modem, in this case you might be lucky and just need a router (like this one) but if your situation happens to be like mine, where I can't disconnect the Fios router because it also works with the cable modem, then this won't work, you might just buy it from them (I did that).
I would just buy the router, try to see if it works and return it if it doesn't