Rafael van der Vaart looked to have given Spurs a gritty victory when he opened the scoring in the second half, however a defensive mix up between William Gallas and Younes Kaboul gifted Asamoah Gyan an equaliser, meaning that Tottenham have only gained two points in their last four matches.
"What are they moaning about? What have they got to moan about with what they’ve seen here? We couldn’t have done any more tonight, we couldn’t have tried any harder," said Redknapp.
The Tottenham boss pointed to a growing injury list as one of the reasons for his side's recent dip in Premier League form, but maintains that his players gave nothing less than 100 per cent on the night.
Redknapp added: "At the end of the day you’ve got Lennon, Defoe, King, Dawson, you’ve got key players missing and I couldn’t come in and say we were c**p or we didn’t play well, that we didn’t try – we worked our socks off.
"I couldn’t be more pleased with how we’ve done, and how we’re doing here. We were beating Inter here last week. You can’t win every game."
Redknapp then joked: "Well they’ve had it so good over the years you see, they’ve had it so good here. They’ve been winning every week, keeping winning league championships every year so you get upset when you don’t win – it’s hard [on them].
A talking point from the game itself came during the second half when Lee Cattermole lunged in on Luka Modric, and Redknapp thinks Cattermole was very lucky not to get sent off.
"I thought it was a bad tackle," he said. "It could have broken his [Modric’s] leg. I just watched that [the replay]. I don’t know what he does other weeks, I’m only interested in that tackle he did today and it was a bad tackle in my opinion – it could have broken his leg easily.
"He [Modric] has got some marks on his leg but he was lucky he didn’t break it really, looking at it. I just looked at it again on the video and he [Cattermole] was very lucky to get away with it.
"He [referee Howard Webb] has to understand the difference between going over the top of the ball and playing the ball."
Another problem for Redknapp is Spurs' lack of a prolific goalscorer due to the absence of Jermain Defoe, and he admitted that his club is finding it difficult without the England striker.
He concluded: "We’re short of our goalscorer, basically. Without the little fella, Defoe, we’re not overloaded with goals – that’s the problem at the moment. But we’re making loads of chances and we’ve just got to keep making chances and hope they go in.
"Defoe would have given them problems tonight, Turner would have been happier playing against Crouch and Pavlyuchenko, but he’s [Defoe] not available tonight and he’s not available at the moment."