The Gunners, who signed midfielder Mohamed Elneny from Basel earlier this month, were heavily linked with the 24-year-old ahead of the January transfer window.
And while Sarsania expects the forward to leave the club in the near future, he does not anticipate a bid from Arsenal.
“I don’t know where Kokorin will continue his career," Sarsania told Sport Ekspress. "There was interest on the part of Arsenal, but now there is not."
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Prior to Arsenal's goalless draw with Stoke City on Sunday, Arsene Wenger suggested he will not move to sign a forward because he is unlikely to find a better player than Danny Welbeck, who is nearing a return from injury.
"I would prefer to have the players back from injuries," Wenger told reporters.
"Welbeck is two to three weeks away and I am confident I will not find a better player than Welbeck on the market."