The Togo star, on loan at Spurs from Manchester City, has been criticised in the past for being a bit of a bad-boy but Parker insists he has not shown any negative traits since his arrival at White Hart Lane.
"He has a good vibe about him and a good mood," Parker said of Adebayor, who has netted seven goals in 10 league appearances.
"He is one of those happy-go-lucky characters and always someone who is a joy to be around.
"I hear people talk about baggage, but we have not seen that since the day I have been here.
"I think he is a world-class player and we have all seen that since he has been here."