I'm not sure exactly why the NFL felt the need to ban players from wearing hoodies under their jerseys, but it did.
Receiver James Jones, who is a free agent, did it last year when he was with the Green Bay Packers. It was strange, but also somewhat cool. It was definitely his signature style. It seemed to become a good luck charm, and he even wore it indoors at the Arizona Cardinals.
You knew it wouldn't last. The NFL banned hooded sweatshirts for players. Coaches, however, can still wear hobo-looking sweatshirts with cut-off sleeves.