Reports in Spain have linked the Gunners boss with the top job at the Nou Camp, with presidential candidate Joan Laporta reportedly keen to install him as manager.
"There is always going to be speculation when there's elections in Barcelona," he said during a press conference on Wednesday.
"It's a huge team. Obviously I was raised there as a player and there's always going to be links but I'm fully focused on the job that I have to do here, which we have a lot to do, and I'm really enjoying it.
"Today and tomorrow I'm the manager of Arsenal Football Club and I'm really enjoying it and I want to do much better than what we've done."