Hamann and Keane competed in some spicy encounters during their playing daysCredit: Reuters
His last gig as a No1 was at Ipswich, who he managed between 2009 and 2011.
Prior to that, he won the Championship title with Sunderland in 2007.
Ireland have lost every game of this qualification campaign, barring two wins over lowly Gibraltar.
Hamann, 50, believes that fans deserve better.
He added: “Ireland have a few players in the Premier League and a lot of them play in the Championship.
“It’s a good standard and they have two outstanding goalkeepers along with Evan Ferguson and others.
“I don’t know who they go after, but I just hope they make a wise decision.
“When I said ‘rock bottom’, I meant how they had 40,000 against Greece and thousands left before the final whistle, whilst the remaining fans couldn’t be bothered to boo the side!
“I hope the FAI don’t take the fans for granted as they turned up every time Ireland played at home.
“Most of the time, they left disappointed. The fans deserve better.”
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Ireland take on the Netherlands in Amsterdam this Saturday, with their opponents able to qualify with a win.
They will then play New Zealand in a Dublin friendly next Tuesday.
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Keane previously worked as Martin O’Neill’s No2 with IrelandCredit: Sportsfile – Subscription