The Manic Street Preachers frontman told Daily Note that Cale's Welshess "added to the cool mystique" of The Velvet Underground and also described him as Wales's "most prolific and creative solo artist".
Bradfield said of Cale: "He is utterly sure of what he wants to - has to - do. His voice isn't there to explore new universes or styles, it just tumbles out like a big slab of granite, fully formed.
"It's equivalent to Lee Marvin's acting, an unstoppable force. He doesn't have to do much to convince you because the weight of his talent and his fantastic controlled rage is there for you to see all the time."
He added: "I think that John Cale is one of the only artists who's managed to reconcile the avant garde with rock 'n' roll and made it work.
"That's something he's done far more successfully than someone like [Brian] Eno, who tends to get far more respect. Cale feels like an honourable soul, an utterly believable serious man."