The ornamental design for a door closer chain, as shown and described.
FIG. 1 is a perspective view of the door closer chain of the present invention;
FIG. 2 is a top plan view in elevation of the door closer chain of the present invention, with the bottom plan view a mirror image of the top plan view;
FIG. 3 is a right side view in elevation of the door closer chain of the present invention, with the left side view a mirror image of the right side view; and,
FIG. 4 is a right side view in elevation showing an alternative position of the door closer chain of the present invention, with the left side view a mirror image of the right side view.
The broken lines at the ends of the drawings shown in all figures represent the bounds of the claimed design; the broken lines form no part of the claimed design.