Spurs closed to within three points of the leaders thanks to their victory over Everton on Wednesday.
That gap could reduce even further this weekend given City are not in action until Monday, when they visit Wigan, 48 hours after Tottenham entertain relegation battlers Wolves.
Little wonder Redknapp is being touted for the England job when Fabio Capello leaves his post following Euro 2012.
And whilst the words themselves could be viewed as a sideswipe, there was honesty in Platt's voice when he outlined just how well Redknapp this he has done at White Hart Lane.
"Harry has a right to be proud at what he has done," said the former England star.
"He should still be proud if he finishes second and he is a point behind us.
"Tottenham have been at the party for a long time and I am glad that everyone else is seeing it.
"They have had a tremendous season and have 18 games left, like us and Manchester United, where they can amass enough points to win the league.
"The feeling is that they have been under the radar for a little bit. Maybe we are living with the City-United rivalry in Manchester and in London it is a different thing.
"But we should all be aware they are genuine title contenders."
Spurs seem to have taken greater pleasure from their own achievements because they have not spent the vast sums of money City have forked out for players.
That assessment is not entirely true but appears so purely on the basis of how fast City have had to catapult themselves up the table.
However, Platt is not concerned.
"There is one trophy," he said.
"You don't get a trophy for spending money. You get it for being at the top of the pile.
"I don't know where the money comes into it. That is irrelevant."
Platt also launched a passionate defence of manager Roberto Mancini, who became embroiled in a row with Steven Gerrard after Wednesday's Carling Cup defeat to Liverpool.
Gerrard was upset that, after complaining over Wayne Rooney trying to get Vincent Kompany sent off at the weekend, Mancini should do exactly the same thing when Glen Johnson caught Joleon Lescott with a flying lunge.
Platt insisted Mancini's actions had been misinterpreted and the City boss was only looking for some consistency from the officials.
"Roberto was not necessarily worried about the two-footed tackle," he said.
"Live in the game I don't think it was dangerous. The problem is inconsistency.
"Vinny's sending off should not have happened. Can you excuse the referee? Yes. He has interpreted something.
"But we feel as though we have been punished twice.
"If Vinny's is deemed to be reckless and endangering an opponent, that was similar.
"It was a good tackle by Johnson. We think Vincent's was good as well."
After suffering successive home defeats for the first time since February 2008, City are set to be bolstered by the return of playmaker David Silva from an ankle injury.
Mario Balotelli remains a doubt though as City look to re-establish their title credentials after a run of only one win in five games.
"No-one expected us to continue winning games without having a difficult moment," said Platt.
"We can't accelerate the season by four months to see how it is going to turn out.
"But we are still in the Carling Cup semi-final and our players are quite capable of turning the situation around, and 19 clubs would like to be where we are in the championship.
"It is not a bad position to be in - some crisis."