An electrochemical cell with a lithium-metal anode that suppresses dendrite formation and can be fabricated using a simple, inexpensive, and solvent-free process. The anode is coated with a layer of disordered nanomaterial, saturated with lithium ions, that suppresses dendrite formation during charging. The dendrite-suppression coating can be applied simply using a dry, abrasive technique in which the lithium-metal anode is alternately abraded to roughen the surface and polished using a polishing powder of a material that alloys with the lithium.