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"When he first came to England a lot of people were giving him stick because he wasn't playing particularly well, but he's certainly shut a few people up since," said Keane.
"He has done absolutely brilliantly, and you can only admire what he has done. He is a fantastic player. For a striker, he is just a pleasure to watch.
"As a striker myself, I look at the way others play, but Henry is one I would pay money to watch because he is so exciting what with his pace and his finishing, which is second to none."
27-year-old Henry though, has not scored a goal in four internationals - the last two of his 27 coming as a second-half brace in France's 3-1 Euro 2004 win over Group 4 rivals Switzerland in Portugal last June.
Keane, who has taken 53 caps to rack up his current goal tally, is gunning for the outright record ahead of former striker partner Quinn.
"Of course the record would make me proud," insisted Keane.
"To score goals for my country is great, but to beat the record would be magnificent. It would be a great feeling for me.
"But the most important thing is the result. Regardless of whether I score, it doesn't really matter. It's about the team.
"It would be nice if I did break the record against France - then everyone wouldn't be asking me questions all the time! I just hope to do it soon."
Keane also revealed that Spurs boss Jacques Santini, for whom he has made seven appearances this season, has refused to spill the beans on his countrymen.
"He spoke to us after the game against Everton at the weekend and wished all the international players good luck - except the Irish!
"He said he would go and watch the game, but he didn't say too much about it. I don't think he wanted to give too much away."
Santini endured a dismal campaign with the French side in last summer's Euro 2004 finals.