Redknapp wrote in the Daily Mail: "If Liverpool want to move him on, he's a fantastic loan. He's a good player. No wonder West Ham are interested in that temporary deal.
"West Ham were very direct at times last season in their promotion campaign and Carroll is a serious threat in the air. He can lead the line, play up on his own and score. Carlton Cole has that role at the moment, but does he score enough?
"Carroll will give West Ham something extra. It is an ambitious plan and, if David Sullivan and David Gold can pull it off, I can imagine the excitement it will create at Upton Park. It would be the biggest signing since Carlos Tevez.
"Other clubs are interested and a return to Newcastle and his native North East might appeal to Carroll. Fulham too have been mentioned, as well as clubs abroad. I wonder if Spurs might switch their target from Emmanuel Adebayor - chairman Daniel Levy has admired Carroll before and tried to sign him."