Big chain restaurants are under a lot of pressure, especially in the wake of more people wanting organic, fresh, home cooking alternatives to fast food. Now is a vital time though to differentiate yourself from the competition. Your marketing and positioning in your marketplace will decide whether the new chain restaurant will steal your customers or not.
One thing is for sure though, independent pizza shops have more opportunities and flexibility than franchise pizza places because you decide which direction to take your restaurant, not a corporate entity 1000 miles away.
Franchise pizza places can only out market you, but again, that’s an area you could compete in.