Harry Redknapp said he was delighted with the team's performance after Tuesday night's 1-0 loss at City.
We dominated play for long periods in what was a make-or-break evening at Eastlands in terms of qualifying again for the Champions League.
Unfortunately, we couldn't break through a resolute City defence.
Luka Modric was inches wide in the first half and Joe Hart produced a fine save to turn away Steven Pienaar's header at the start of the second half.
Luka's near miss proved the pivotal moment as within two minutes, City scored the winning goal when Peter Crouch turned James Milner's low cross into his own net on the half-hour. It was a cruel twist of fate for the striker who scored the famous goal in the same net last year to take us in the Champions League.
"The players are disappointed, they all thought we deserved something," said Harry.
"I thought we controlled the game for long periods. For an away team we had a lot of the ball and played ever so well again.
"Luka had a great chance in the first half and the keeper made a great save in the second half.
"I'm delighted with the players. We played some great football against a top, top team. I couldn't have asked for more."
City's win secured fourth place and leaves us to battle it out with Liverpool for fifth and a place in the Europa League next season - and we travel to Anfield on Sunday trailing the Reds by two points with two games remaining.
"We have to try and win at Liverpool and if we play how we played against City we'll have a great chance," added Harry.
"We've been playing well without winning and we've drawn lots of games. I was pleased with the attitude and performance, we just lacked that cutting edge. We needed to find a finish from somewhere.
"We'll go to Liverpool and try to win and then try to beat Birmingham. Two wins and we'll finish above Liverpool. That's what we need to do.
"It's been a great season. Anyone who hasn't enjoyed watching Tottenham play this season can't enjoy watching football. We've played some fantastic football, had some great games and we've been a pleasure to watch."