Ronaldo completed a shock return to Old Trafford from Juventus with just four days left to the end of the transfer window.
Manchester United are hoping to win a first Premier League title since the departure of Sir Alex Ferguson and Redknapp who managed Tottenham Hotspurs in his managerial career is optimistic Ronaldo's arrival would change the club's staus making reference to Old Trafford hero Eric Cantona.
"All the kids back then, Ryan Giggs, David Beckham, the Nevilles, would watch everything Eric did and think ‘if it’s good enough for him, then that’s what we should be doing’.
"You get that with the great players. When Paolo Di Canio was at West Ham, he’d come in on a Sunday and warm down for an hour and a half, eat the right food, live the right way.
"Even at Bournemouth, when Luther Blissett came back from Italy, he turned the culture around.
"They went from going for egg and chips after training to eating pasta. As a manager, players like him and Di Canio are worth their weight in gold."
Ronaldo currently holds international football's record goalscorer with 111 goals, surpassing the record previously held by Ali Daei who scored 109 goals for Iran between 1993 and 2006.
Ronaldo completed a £19.8 million move to United from Juventus earlier this week, having left Old Trafford for Real Madrid in 2009 for a then-world record fee of £80 million.
The five-time Ballon d'Or winner after being released early from international duty by Portugal is expected to make his debut for Manchester United against Newcastle United on Saturday.