The Togo international, who was booed by some sections of the Arsenal crowd on Saturday against Juventus, turned the jeers to cheers with the winner from the penalty spot against the Spanish champions.
Gunners boss Arsene Wenger is confident all the rumours will soon be forgotten about if Adebayor continues to find the net for Arsenal this season.
"I feel Adebayor felt people questioned his commitment a little bit and the best answer always is to give on the pitch," said Wenger. "You play well and show you are ready to fight for your shirt and your team. He does that. He is a man with character.
"You know how it is. If you score goals people forget quickly their frustration.
"You have to show it with performances in this job."
