There is sufficient room to manipulate a standard ratchet in there. Be prepared to use whatever extension pieces you'll need to put the ratchet just to the right of the brake pedal.

Wes

edit - the deep 10 mm socket won't work too well putting the bolt back in when you reinstall the unit. Better to use a regular 10 mm socket at that point. When reinstalling the bolt, I use an extension (about 6" or so) and put the bolt in the socket. I then move the bolt into place and turn it counterclockwise until I feel sure it is at the nutplate threads. At that point I start turning it clockwise with my fingers until it won't go any further. Tighten with the ratchet and you're home free.