Former Liverpool fullback Dicks played for Redknapp at West Ham.
He wrote in the Daily Star Sunday: "Don’t get me wrong. Roy Hodgson has been given the role and has targeted a major trophy since being handed a four-year deal.
"And fair play to him. He does have certain credentials and I wish him the best of luck, starting with our campaign at the Euros this summer.
"Of course, I will be following England at the tournament in Poland and Ukraine but I am not so sure I can say I am overly excited by it. But with Harry at the helm I would have been full of anticipation. Buzzing.
"I am afraid that if ever the FA got an appointment wrong – and let’s face it they are masters at it – it is this one."