As long as it has a picatinny rail to attach it it will work.
It'll work, just be aware that putting a vertical grip on an 11.5" upper will turn your AR pistol in an SBR. Possession of an SBR without the appropriate tax stamp can create some serious legal problems for you.
If it has a picatinny rail, sure. Will it be legal? Umm... Make sure to comment on AFT's ridiculous rules. Savethebraces dot com.