Gervinho has failed to nail down a starting berth in his two years at the Gunners and is close to leaving England, with Roma the likely destination.
Meanwhile, Chamakh and Nicklas Bendtner, who spent parts of last season on loan at West Ham United and Juventus respectively, have both been linked with moves away from the Emirates Stadium.
"[For] Gervinho we are at the moment close to an agreement with a club where he should go," Wenger told reporters.
"Chamakh might go somewhere, it will be decided in the next 48 hours. [They are] permanent moves.
"With Bendtner we are nowhere. At the moment he is completely here."
Arsenal's attempts to sign Luis Suarez are in limbo, as Liverpool rejected a £40,000,0001 offer for the Uruguayan forward.