"I'm sure he [Adebayor] will enjoy going back and playing there," Redknapp told reporters on Friday when asked how the striker would deal with returning to his former club in the colours of their arch rivals.
"He will get some stick, that goes with the territory now when you go back to your old club, but I'm sure he can handle it."
In his first game against Arsenal in City's colours, he ran the length of the pitch to celebrate a goal in front of the travelling Gunners fans after suffering verbal abuse throughout the match.
Asked how important it was to finish as the top London side this season, something Spurs have not achieved since 1995, Redknapp said: "That's the most important thing for me this year.
"I really want to try to finish as the top London club and at least get that third place if we can but it can all change very quickly.
"Finishing third would be the key and anything above that would be a fantastic bonus but I want third place at least.
"We have got a nice cushion at the moment but we have all seen 10 points erode very quickly. We have got a tough run of games coming up," he added at the club's training ground.
"Arsenal are dangerous opposition. It will be a difficult game. It's important we start well. We want to make sure that in the first 15 minutes or so we dictate, get hold of the ball and frustrate them early in the game and get that anxiety coming through in the crowd."
"They have had a bad week with the Milan game and Sunderland. But look at his record - it's fantastic. Champions League football for 15 years running - it's an amazing achievement. What he has done at Arsenal has been incredible really. He is a top manager."
