The Moroccan international, who has netted 15 times for his country, has been linked with a move to the Premier League throughout the close-season.
His 13 goals last term helped secure a first league title in 10 years for les Girondins, but Chamakh has made no secret of his desire to leave the Stade Chaban Delmas.
He has claimed to have agreed terms with Sunderland, Fulham, Blackburn Rovers and Tottenham Hotspur, adding that he would prefer a move to Arsenal.
But after the Gunners saw a €7 million bid for the front-man rejected, Wenger insisted he would not be increasing his offer nor his efforts to sign the striker, stating he would rather wait a year and land the front-man for free.
Chamakh started and scored for Bordeaux on Sunday as the champions began their Ligue 1 title defence with a comfortable 4-1 victory against newly-promoted Lens.
However, the player revealed afterwards that the ongoing uncertainty surrounding his future is having a detrimental effect.
"My priority is Arsenal, but there are other clubs. If it's Arsenal, so much the better. I am not sleeping as well as I normally do," he told Canal Plus.
"I made my wish known to the directors at the end of last season. I expressed a wish to join another league.
"I hope things will be sorted out, and that they will be sorted out very quickly. As much for Bordeaux's sake as for mine, my situation has to be clarified.
"I thought they [Bordeaux] would have made things easier for me."
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