The 17-year-old had been training with League One side Southend United before calling on former Norwich assistant manager Jim Duffy to help him find a new club. Duffy contacted Rangers who then flew the mid fielder north for a specially-arranged trial match.
After impressing in the trial, Rangers decided to offer the youngster a two-year deal.
"Jim helped me a lot when he was here and I got to train with the first team then. He said if I ever had any problems to call him so I sent him a text and he spoke to Rangers," said Miller.
"They are such a big club and you don't expect to be linked with someone as big as them.
"I can't wait to get up there and make a fresh start. I'm really looking forward to it."