Redknapp wrote in The Sun: "I see Sam Allardyce has taken a bit of stick but I can't really understand why because staying in the Premier League this season was always the be-all and end-all. And he's doing a great job.
"Sam took over a Championship team, got them back into the top flight and staying up ain't easy.
"They can talk about the style of football played but over the years West Ham had become a yo-yo club and no Hammers fan wants that.
"If Sam keeps them up - and all the signs are he will - then I really don't know what more he could have done."