The Gunners striker is on loan at QPR but after grabbing his eighth goal in 14 games would love the chance to step in for the long-term casualty Robin Van Persie at the Emirates.
He said: "This is helping my development and I want to play at the top level. At the moment Arsenal have a lot of injuries so if I was back there, who knows.
"When I play I'm always confident I'll score - even if it was in the Premier League."
Simpson added: "I am with Rangers for the season. There is a call back but I don't know if it will be used.
"I'm in touch with Arsenal and I know they come to all the home games but I'll just focus on my stuff."