Technically, it wouldn't be "bringing back" the show. It would be petitioning a network to start production on it.
To give you an idea of how hard this would be, Dan Povenmire came up with an idea for a cartoon called "Phineas and Ferb". It took sixteen years to convince any network to give it a chance, and that was from a person who had experience in the animation field.
In this case, it's just a group of fans who would be telling networks "we like this other person's idea for a show, so we want you to make it". Each network gets hundreds or thousands of ideas every year from professional artists and only a few are selected for development, and of those, even less get turned into a series. A petition will very likely go nowhere.