The Premier League club are said to have tried to seal a loan move for Kokorin in the summer transfer window, but the Russian outfit rejected their advances.
The 24-year-old's representative Cyril Loginov has hinted that a potential transfer is not dead in the water, but has suggested that Arsenal's lack of consistent success could be a problem.
"Aleksandr, if all well informed, still has a chance [to move in the future] and not just to Arsenal," Loginov told Russia's News Today. "If Dynamo refused to give Aleksandr to Arsenal in the past transfer window, it does not mean that he can't be where he wants [in the next window].
"We have a very good relationship with the coaching staff and the management of the football club Dynamo Moscow. We have, of course, been notified.
"I don't remember many outstanding achievements [for Arsenal] except they recently won the FA Cup. So I don't know, I don't know."
Kokorin has found the back of the net 39 times in 87 appearances for Dynamo. body check tags ::