The Mexican striker left the Gunners in 2011 after a string of loan spells during his time in London, although the La Real forward has revealed that he is keen on making a comeback this summer.
InsideSpanishFootball.com quotes him as saying: "If I have to return, I will do things in a different way. What happened in the past will not be repeated.
"We will try and reach an agreement in which we all win – Real, Arsenal and me. We must see what can be done. We will decide what will be my future; it is all about finding the best way to be happy."
Vela reportedly has a buy-back clause in his contract.