Redknapp was delighted with the Three Lions' win over Sweden.
He told the Daily Star Sunday: “I needed cheering up and this did it for me. Three great goals and three points – what more could you want?
“I really enjoyed watching us and I thought we were superb in attack. Before the tournament, I said defence was key but we showed how threatening we are up front.
“Every other team at the Euros will have taken note and they won’t fancy playing us.
“We’ll beat Ukraine. Their home fans will be roaring them on and Andriy Shevchenko will be looking for a glorious swansong.
“But I’m not really that impressed. They were lucky to win their first match and France exposed their defensive weaknesses. The hosts need a win whereas we only need a draw.
“They’ll go for it, that will leave them exposed and Theo and Ashley Young could terrorise them on the break.”