I buy Pumas every year for my son who has narrow, flat feet.  Everyone, especially online buyers, who don't know how certain brands fit, should try them on in a department store first, and then come online and buy the style you want. (since Amazon tends to carry styles I can't find in the mall.:))  I know that I have to buy a size up from other brands like Reebok and Nike when I buy Pumas.  If you have wide feet, I wouldn't recommend them unless they come in the specified sizing for wide feet.
These running shoes, however, my son did complain about his feet hurting in them.  He usually wears the Puma 'fashion sneaker' styles and LOVES them with no complaints of his feet hurting.  They last a pretty long time, and he is a very active grade school boy.