An integrated modular attachment system for releasably attaching an object to a garment. The garment may include one or more loops. The object includes a base member, a foldable flap attached to the base member, a first wing member extending from a first side of the base member and a second wing member extending from a second side of the base member. To secure the object to the garment, the foldable flap is arranged in downward position and inserted through at least one of the loops of the garment. The first wing member is folded into a position which overlaps a portion of the foldable flap and is removably secured to the foldable flap. The second wing member is then folded over to overlap the first wing member and is removably secured to at least the first wing member.