City have a chance to put a huge dent in Tottenham's Champions League ambitions on Sunday when they travel to White Hart Lane.
Adebayor had a tumultuous three-year spell at the Etihad Stadium, rowing with manager Roberto Mancini and fighting with defender Kolo Toure before leaving for Spurs two years ago.
But he believes Mancini's high-profile spats involving Mario Balotelli and Carlos Tevez prove a fractious atmosphere remains - and urged his team-mates to take advantage.
"If we put them under pressure we have a chance to win for sure," Adebayor said.
"I was there and whenever things are not going their way there will definitely be a fight or an argument on the pitch and that is how we can take them down.
"I don't have anything to prove to Man City.
"Man City is a sacred club. I have a huge respect for the players because I've got players there that I can call family - people like Yaya Toure, Kolo Toure, and Vincent Kompany.
"They are very good friends so for me. It's going to be important for me to prove how good I am, but I don't have any pressure that says I have to beat Man City because of the way they treated me - because they bought me expensively and sold me for cheap.
"We are all human beings. We are all adults. I cannot tell you what happen and what did not happen. For me today I move on, (Mancini) has moved on. He is Man City, I am Tottenham.
"I wish him the best of luck. For me now Mancini is just a manager I respect just like Arsene Wenger, like Harry Redknapp, and that's it."