Cudicini played his first competitive game since sustaining pelvic and wrist injuries in a motorbike accident last Novenber by keeping goal for the first 45 minutes of Spurs' 4-0 win against the League One side on Saturday.
"I'm so pleased he has recovered, delighted," Redknapp told the club's official website.
"It is great to have him back and available. He looked good today and that's great news for him and for us. He is ready to go.
"He is a great professional, a terrific goalkeeper and a top guy. He has done fantastic to recover after that horrific accident.
"He has just got on with it and worked his socks off to get fit again. We all knew he faced a struggle to get fit but he has worked hard with Tony Parks everyday all through the summer and he feels good."