Some sections of the Arsenal support mocked the killing of three members of the Togo party during the African Nations Cup last January which Adebayor survived.
Redknapp admits he was outraged to hear the songs, and said: "It was disgusting, yeah, disgusting. There was some pretty disgusting chanting at me but that's life. How do you chant something like that to someone? You can't be right mentally. You need help."
He added: "There are kids up there as well. It's got no place anywhere in life, that sort of stuff."
Arsenal boss Arsene Wenger was also disappointed by the chants, adding: "We respect everybody and we want to be respected."
There was also controversy following the final whistle when Clive Allen clashed with Wenger after the Spurs coach felt the Gunners boss had snubbed his offer of a handshake.
Wenger squared up to Allen and both had to be restrained before the Frenchman disappeared down the tunnel.
Redknapp admitted Allen was unhappy at the apparent snub.
"I think Clive went to shake hands with him and he missed Clive - he didn't see him," Redknapp said. "You either shake hands and mean it or you don't shake hands at all. If he doesn't want to shake hands, it's his prerogative. I think he (Allen) wasn't happy."
When asked what happened with Allen, Wenger said: "Nothing. I shook the hand of the manager and the assistant manager. How many people do I have to shake hands with? Is there a prescription? There were no words exchanged."
Source: PA
Source: PA