The striker has been linked with Celtic as he impresses on-loan at QPR.
"I really enjoyed my last experience of the Premier League," Simpson told arsenal.com. "I am looking forward to playing in the Premier League again.
"I go back to Arsenal at the end of the season and I will talk to Arsène Wenger then. If he chooses to put faith in me [for next season] then I will do my best to repay that faith.
"But at the moment I am focused on QPR because we are still fighting relegation."