The striker made 25 appearances for the Ligue 1 side last term, scoring three goals, and now feels he has developed into a good enough player to represent the north London side.
The Costa Rican is delighted with the experience gained in France, but insists his attentions are focused on succeeding for Arsenal for years to come.
“That’s what I’m hoping for - to play for Arsenal next year,” Campbell told Arsenal Player.
“I think I’ve got the ability to do it. I’ve got every confidence in my ability to go to Arsenal and play.
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“I’ve learned how to live with other people in a different country to mine, to be here living life outside football, to learn about the training and the intensity of the game in Ligue 1.
“That’s all helped me to learn things so I can continue my football career with Arsenal, and I hope that’s going to happen.”
With the striker competing against well-established names like Robin van Persie, Theo Walcott and the incoming Lukas Podolski, Campbell is under no illusion as to how hard it may be to break into the side.
“I think I can bring a lot of things to the Arsenal attack - I can contribute goals and assists," he said.
“I want people to see what I can do. I always think big, so I want to go to Arsenal and play as many games as possible.
“I have to give everything I’ve got, train hard and have faith in my abilities, to never doubt them and keep moving forward.”