The Denmark hitman is known for his overriding self-belief and has been in fine form to back up his assurance in his ability with nine goals in his last 12 appearances.
And Bendtner insists he can kick-on next season and become one of the leading goalscorers in Europe.
"I do not believe I'm over-confident," he told the Daily Mail. 'I believe I have the confidence I need in my ability. And if you ask me I am going to tell you straight.
"If you ask me if I am one of the best strikers in the world, I say yes because I believe it.
"When I see that other strikers score a lot of goals, I realise I need to score those goals. But I think everything else in my game is right.
"Even if I believe I can still improve. But the goals are the last thing I need to add and when I do I believe I will be the player I want to be. One of the best.'
Bendtner was denied game time earlier in the season after suffering with a groin injury, linked to accident where the 22-year-old crashed his Aston Martin automobile.
But the former Birmingham City loanee reckons the Gunners supporters will see even more goals next term.
"I'm sure it will be shown that I am one of the best. Bendtner added.
"Because of the car accident I've also had groin problems that mean I'm not completely the player I should be.
"But after the World Cup I have a month to really focus on my rehabilitation and once I'm feeling fantastic in my body, I hope to play the way I want to. There is more to come from me."