The 28-year-old has recently been linked with the likes of West Brom, Liverpool and Cardiff.
The Daily Mail reports that Arsenal can sign Kalou in a £2.6million deal and wages of around £60,000 a week.
Arsenal prepare to let Danish striker Nicklas Bendtner join Crystal Palace and are keen to make a big name signing before the transfer window closes.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.