Wenger said: "We have had to be patient with him but I know things will come good for Eduardo.
"Eduardo has a good attitude and works hard but has had to adapt. And because he is a quiet person perhaps it takes him longer."
Eduardo is due to partner Emmanuel Adebayor at home to struggling Wigan today.
And Wenger rules out any danger of a backlash from the crowd for the hitman's contribution to England's Euro 2008 exit.
He said: "The people in England will understand. He was just doing his job. But Eduardo's success for Croatia will help his confidence.
"He knows he will go to Euro 2008 as a player who counts in Europe at a big club. I am looking for him to come strong in the second half of the season."