Wenger, who sold Adebayor to Man City for £25m last summer, accepts that emotion can often take control during a match, but insisted past misdemeanours should not affect the behaviour of the Gunners supporters.
"I am stubborn, but not stupid - sometimes in the heat of the moment you can do things that are not right," admitted Wenger.
"It is not only Adebayor, but also Patrick Vieira and Kolo Toure - we will welcome them all back.
"We have always had the same line of conduct - to respect what they have done for us and we want our fans to respect that as well and encourage our team.
"I believe more than ever tomorrow we will need the crowd to be behind us."
Adebayor's current team-mate and former Arsenal defender, Kolo Toure, believes his fellow African should be more relaxed in the return game.
"We all know what he did was not the best reaction - and as a friend I've told him that," Toure commented.
Campbell calling? - Wenger cracks a joke
"I've told him he must be calm and not do anything (provocative).
"Ade is a professional player and must just focus on the game and give everything to help the team win."
Saturday's match is a crucial one for City, who are locked in battle with Tottenham and Aston Villa for fourth place in the Premier League, which would secure a place in the Champions League next season.
After Arsenal, City face both Villa (1 May) and Spurs in consecutive games (5 May), before an away trip to West Ham on 9 May completes their season.
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.