Barry rates Parker's oppponent American Andy Ruiz as the favourite for the December 10th fight and believes Ruiz has better hand speed than his charge.
But Parker who has just returned from a training camp in Las Vegas said he will prove Barry wrong.
"Andy does have fast hands but I believe I am faster. I'll prove Kevin wrong come fight night that I will be the faster fighter. Kevin did say that Andy was the favourite but he didn't say I was going to lose...this is my time."
This will be Parker's fifth fight of the year but he believes he is in good shape.