"They don't let us talk to him because they don't want us to get the real story," his sister said.
Felton is accused of trying to rob an undercover cop parked in an unmarked car Sunday night.
Police say that sergeant was forced to fire.
The family's pastor got into the hospital on Monday to see him and said Felton is talking, telling his mother and sisters he didn't do it.
Felton's mother says her son was supposed to finish high school this spring.
"He's not the trouble maker," his sister added. "He doesn't stay out. He's not in a gang. He doesn't sell drugs. He didn't have a gun."
The undercover sergeant was in a red pickup truck near the corner of Dwight Street and Bergen Avenue in Jersey City.
Felton was shot in the eye. The bullet went through the back of his head.
"He may lose his vision in both eyes, but so far one eye," his mother, Dawn Felton, said.
Family members say Felton had just left a baby shower at a community center. He was walking on the sidewalk on his way home. They say there's no way he had a gun on him because he was patted down by police inside that building.
Now it's up to the Attorney General's office to gather all that information and decide what really happened.