The Stoke striker found his chances limited under previous boss Fabio Capello and believes he is more likely to receive a call-up if the Tottenham coach takes the Three Lions job
The FA are searching for a successor to Fabio Capello following his resignation over the removal of John Terry as captain.
However, they are yet to make an official approach for the Spurs boss, who has admitted in the past that he would find the job hard to turn down.
And Crouch, who found chances limited under the Italian, thinks that Redknapp’s appointment could benefit him, as he has played under the 65-year-old at three different clubs.
He told Sky Sports: “He's the Tottenham manager at the moment, he's in a job, but for me he would be a fantastic candidate for England.
“I think he has got all the credentials, he's very experienced. I have worked for him before and he has always done fantastically well wherever he has been.
"I would like to think it would increase them [his chances of playing for England]. I have always felt that I have done well for him wherever I have played. He's a top class manager, he has proved that at Tottenham."
The 31-year-old also praised interim boss Stuart Pearce and insisted that the appointment of a permanent manager is not vital ahead of England’s Euro 2012 campaign.
“I think the FA know what they are doing. They have got Stuart Pearce in charge at the moment and all of the lads will tell you that we have worked with him before and enjoyed working for Stuart Pearce,” he said.
“If someone comes in, great, but as footballers I think we are all experienced enough to get on with the job and do well at the Euros.”
The former Saints man, who made 17 England appearances under Capello, went on to express his belief that he was out of favour under the ex-Real Madrid boss.
But the Englishman has vowed to continue his recent fine form for the Potters in the hope of being part of England’s plans for Euro 2012.
He said: “I make no bones about it, I don't think he [Capello] thought as highly of me as previous managers.
“That's something I had to contend with but I don't bear any grudges, that was just his opinion. Football is a game of opinions and I will try and work as hard as I can for Stoke City to impress the next one.”