FIG. 1 is a right front perspective view of the closet drawer unit showing our new design, with the broken lines showing portions of a shelf and support poles for illustrative purposes only and forming no part of the claimed design;

FIG. 2 is a front view of the closet drawer unit of FIG. 1;

FIG. 3 is a rear view of the closet drawer unit of FIG. 1;

FIG. 4 is a top view of the closet drawer unit of FIG. 1;

FIG. 5 is a bottom view of the closet drawer unit of FIG. 1; and,

FIG. 6 is a right side view of the closet drawer unit of FIG. 1, with the left side view being a mirror image of FIG. 6.