Many United fans were hoping that Fergie would step in for the player but it was confirmed a couple of days ago that United had no interest after Redknapp had said he believed a deal had already been done.
And now Redknapp has stepped up his efforts to add Cole to his squad, but he knows that he will have to wait until the end of the World Cup before opening talks with Cole.
"We've declared our interest in Joe to his agent, but that is as far as it has gone," Redknapp told The Sun.
"We are told Joe doesn't want to talk to anyone about any move until after the World Cup is over."
Although Redknapp has declared his interest, Arsenal are currently favourites to land the player