The Liga club have already made a bid for the Argentine, but the deal has not progressed since then.
Gonzalez has told Marseille that he wants to move to the south of Spain though and the French club seem resigned to his exit.
Anigo told RMC Sport: ''He wants to go to Malaga. We hope that if Lucho has to go, then this transfer is done quickly. The move has a deadline of July 15 but if a proposal comes in a few days later, we might consider it.
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''Didier [Deschamps, the Marseille manager] needs to build his team quickly and to have confirmation on certain items. And if at the end there is no progress with Lucho, he will have to play with us.
''We received an offer of €6 million from Malaga earlier this week but [we have heard] nothing since.''
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