Adebayor was booed by fans last week for Arsenal's win over West Brom and Wenger insisted: "I believe it was linked with results and goalscoring.
"It was an edgy, nervous game because when you are one up your fans want to be reassured with another goal.
"He had a few opportunities to score the second goal and didn't do it. Give him time and watch him score.
"I cannot understand their disappointment with him - his heart is with the club.
"I believe he has been unfairly treated. Why? Because when I met him many times in the summer, he had a lot of interest from many big clubs.
"But he always told me his preference was to stay.
"Maybe there was a misunderstanding at a Press conference in Austria but I know what he told me. He made sacrifices to stay."