Imagine you were in the zombie apocalypse, In say a military base, with a small group (I dont know just go with it). When you hear a noise, somone... walking. You begin to build up the courage as you walk over and then a MP (military police) the noise. He turns and he pulls out a pistol and fires. (Just go with it :3). This could be a small possiblity because if they can remember to move they can remember other things correct?
As shown in Goerge A. Remeros' movie "Day of the living ded" a young solider remembers that he loves the main character and begins to shoot at the zombies chasing her, sacrificing himself to save her. I'm not going to go into the whole movie but that is the perfect example... THEY WILL REMEMBER!
They would not remember there eating habits (vegitarians, vegans, etc.) such as the solider did in the movie, but instead remember family, daily routines, etc. So that solider that just shot you may have just remembered that he was in the military, which lead to his training, which later lead to him remembering firing a rifle.
Just think that if they can walk, and the brains are fine, he could just remember how to do somthing just as good as you!