In his column for The Sun, Redknapp opined: "When it comes to nicking a goal, you would be hard pushed to name players who would be ahead of Jermain in the queue.
"There is more to being a striker than simply knocking the ball into the net.
"Last season, against Hull, he was virtually unplayable for Tottenham.
"He held up the ball brilliantly, knocked defenders off it and, yes, he scored - a hat-trick in fact. Then he stopped doing those things. He could have held the ball up better against Slovenia and used his physique - he's stronger than he looks - to worry his markers a lot more.
"I hope I'm not sounding harsh, because I know if you give JD the ball in the danger areas there is every chance it will end up in the back of the net. I also hope he gets a run in the team but that will depend on what approach Fabio Capello takes in the next round.
"The decision for the national manager is whether to play as open as England did against Slovenia - who, let's face it, were a poor side - or play an extra man in the middle of the park, which would mean sacrificing one of our strikers."