Wenger said: "It was a great goal. It is not handball. Watch it on the replay. He did not take it with his arm like they complained.
"A fantastic ball first from (Cesc) Fabregas, good control and a fine finish.
"I'm very happy for him. He (Bendtner) was a bit disturbed recently with a lack of confidence, but that will help give him confidence."
Wenger was also happy with his new skipper.
"He was very good for me," the Frenchman said. "Focused for 90 minutes in the game, worked hard defensively and offensively.
"It was not easy in midfield because they closed us down very well. I expected them to go up a little bit in the second half, but they didn't."