That is why my melee weapon of choice for the zombie apocalypse is an aluminum (not wood) baseball bat. Good in close quarters, even if it gets bent it is still effective, and it doesn't get stuck in zombie skulls or door frames like a sword might.
However, while the arm blades with the straps like you see there are less useful in a fight against an unarmed foe, they do have potential in a fight with another person armed with bladed weapons. Though I would prefer the blades from the movie Bloodrayne, which actually were like bladed tonfas.
The basedball bat would be good against one or two zombie at a time, but it would probably take too many blows to the head to destroy the brain before others were to grab you. And depending on how the bat bent, it could become quite useless as well. A katana, properly sharpened and wielded by someone who knows what they are doing, would never get stuck. In Kendo, we learned that there are three points in the human skull that, if hit at the proper angle. will cut through without getting stuck. Also, Katanas are very, very, sharp. Just ask the american soldiers in the second world war who tried to block a katana swing with their M1 Garand. Cut right through the gun, and the soldier.
The best strategy, of course, would be to have several different types of weapons to deal with the situation. Just make sure that includes a pistol with one round in the chamber. Just in case you get over run.