The former Sunderland star has been impressive in the Black Stars' two games so far, winning a penalty against Uganda and scoring the match-winner against Mali to qualify Ghana to the quarterfinals of the tournament with a game to spare.
"I think everyone knows Asamoah Gyan. He's not a friend but a brother [because] I know everyone in his family and that shows how close we are," Adebayor told Metro TV.
"Sometimes, people forget who we were [as players] and what we have done in our careers and just think about yesterday. They don't remember what you have done ten years ago.”
Gyan's latest goal has seen him setting a new record as well as equalling another. He is now Ghana's all-time topscorer in Afcon with eight goals and the only player aside Samuel Eto'o, to score in six consecutive Afcon tournaments since netting his debut on January 20, 2008.
"If Gyan has played in three separate World Cup editions that means he has been consistent in the last twelve years and a lot of big players have not done that in their careers so hats down for Asamoah Gyan."
He added: "He should keep scoring goals and not stop now because he has got a lot couple of years ahead. He should keep making Ghana and Africa proud and we are proud of him."
Gyan has scored 49 goals in 98 appearances for the Black Stars, and now aiming at reaching the half century as Ghana lock horns with Egypt on Wednesday.
He could become the fifth African player to score 50 or more goals for his country aside Godfrey Chitalu 'Ucar', Hosam Hassan, Samuel Eto'o and Didier Drogba.