You do realize zombies are not real and that there have been many different interpretations and takes on them throughout popular culture, right? I mean, I don't think zombies can perform a well choreographed 1980s dance routine, either.
In all the zombie movies I'm aware of, not once have they ever shown signs of intelligence of any kind. (Indeed, almost by definition, a zombie is a creature without intelligence.) The only difference is some vague hinting in the final George Romero movie, and even then, the dead are only instinctively acting out parts of their former lives. They don't really know what they're doing.
Hell, even the Rage victims in the "28" films aren't intelligent, and they're not even dead!