Remote Control Unit Bracket

FIG. 1 is a front, left and top perspective view of a remote control unit bracket, showing my new design; FIG. 2 is a rear, right and bottom perspective view thereof; FIG. 3 is a front, left and top perspective view of the remote control unit bracket in use state; FIG. 4 is a front view thereof; FIG. 5 is a rear view thereof; FIG. 6 is a left side view thereof; FIG. 7 is a right side view thereof; FIG. 8 is a top plan view thereof; and, FIG. 9 is a bottom plan view thereof. The broken lines shown in the drawings illustrate portions of the remote control unit bracket that form no part of the claimed design.