Wenger signed the Togo international from Monaco in January 2006 for £7million.
This season, the 24 year olds performances have improved in staggering fashion, with the powerful striker already netting 23 goals.
And speaking to Sky Sports News, he has admitted that his goals are a way of repaying the faith shown in him by Wenger after he struggled in the latter stages of his Monaco career.
"To pay him back is going to be very difficult," he told Sky Sports News.
"It is something special. He is the one who gave me a chance to become who I am today. I want to keep on enjoying myself and listening to him."
Adebayor also discussed Arsenal's progress to the UEFA Champions League quarter-finals after they defeated Milan with a wonderful display in the San Siro - winning the tie 2-0 on aggregate.
"We have the team, we have the quality. No doubt about that. We just have to take things game by game," he continued.
"At the moment we are in the quarter-finals and we do not know who we will be drawn against.
"But the most important thing is that we keep on enjoying ourselves."