When you see a Football Zombie, avoid underestimating it, since it has very high health and is very fast. Use a Hypno-shroom to hypnotize it and make it help you by taking out many zombies for you.
If you want to defeat a Football Zombie with no Hypno-shrooms, you must plant Fume-shrooms and Wall-nuts next to each other. Sometimes, a Puff-shroom behind one of your Fume-shrooms will attack the Football Zombie.
Use a Cherry Bomb only for an emergency, especially when Football Zombies and others are about to reach your house. This is usually unnecessary if you are using a Hypno-shroom, because it will be a big waste of sun and it is recommended to use only Hypno-shrooms to clear the Football Zombies from your lanes.
You can also use Chompers to eat Football Zombies (along with tougher zombies), but it will take time for it to finish chewing the zombie. Place it behind the Wall-nut, but you must replace a damaged Wall-nut.