Lennon won the last of nine caps two years ago but Capello has preferred the likes of David Beckham, David Bentley, Shaun Wright-Phillips and Theo Walcott in his position.
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But Lennon, who has never finished on a losing side for England, has been in outstanding form under Harry Redknapp and Keane believes his unique talents should not be ignored again.
Capello saw Lennon impress for Spurs against Manchester United in Sunday's Carling Cup final and again, on Wednesday, when he scored twice against stuttering Middlesbrough.
'I don't see any reason why he shouldn't be in it (the England squad); I think he should be in there anyway because you haven't got a player who is like him,' said Keane. 'There are no wingers that can come on and change a game and beat people with his pace.
'He was the same on Sunday with his pace, and there's no-one like that in the Premier League that play for England on the right hand side.
'I've always been an admirer of Aaron, from a long time ago. He was terrific against Man United on Sunday and I don't think Evra has ever had a test like that.
'For the whole game he was in form, and you saw him again against Middlesbrough, he took his two goals superbly. He's a big player for us and he is maturing.'
Keane scored his first goal since returning to Spurs for his second spell at the club and he has noticed a difference in Lennon. 'Since I got back I see a more mature player,' he observed.
'He's only going to get better with age. Plus we are a team that's starting to win and going with confidence. In the last few games we've been doing well. We had a good win against Hull, obviously we lost in the Carling Cup final but we still played well and we did again tonight, but he took his goals superbly.'
Lennon believes he is in the best form of his career. 'Definitely, I think so, with my all round performances. I'm the fittest I've ever been and, yes, I think I'm playing the best I've ever played.
'I think it's down to playing in loads of games really. I got a full pre-season which I hadn't had since I've been here and I think that's helped me loads, and I've just kicked on really.'
As for England, Lennon prefers to let others do the talking. 'I didn't know he (Capello) was here, but I'm not really concentrating on that right now. Hopefully we can keep Spurs in the Premier League and get up the table, that's the main priority.
'I haven't been with England for a while now and I've missed it. If I could get back in, then brilliant, but it's about keeping Spurs in the League right now.'