The 25-year-old striker has not featured for the Gunners in over two years but is set to start against West Brom in the Capital Once Cup on Wednesday evening
Bendtner is set to take his place in Arsenal's side for their Capital One Cup tie against West Brom on Wednesday and, according to Wenger, the Denmark international can make an impact this term.
The 25-year-old has not appeared in the Arsenal first team for over two years, having spent time on loan at Sunderland and Juventus, while his last goal for Wenger's side was one that earned him a hat-trick in the FA Cup against Leyton Orient in March 2011.
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"He had nearly gone somewhere else and in the end he stayed because it didn't work out and we needed him here. Now he can convince everybody.
"We are open minded, we believe in his qualities. I personally believe in his qualities.
"It's just down to attitude and fighting spirit. When he has that, Nicklas can be an unstoppable striker. He gets his chance. Our job is about that. Take your chance.
"Fans forgive you everything as long as you produce the performances on the football pitch. That's what people want.
"I think our fans have a positive attitude towards Bendtner and they will be behind him.
"Only you can create that with your performances."
Wenger is hopeful Bendtner can emulate first-choice forward Olivier Giroud, with the France international being rested for the trip to the Hawthorns.
"I see him (Bendtner) as a centre-forward. He can use his body back to goal. He's an intelligent player, he can play intelligent passes and protect," Wenger said.
"He's a similar type, size-wise, to Olivier Giroud. The central role is perfect for him."