The 28-year-old has joined the Latics for an undisclosed fee.
Kone scored 15 goals in 34 games for La Liga side Levante last season.
Kone has signed a three-year contract with the Cottagers.
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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.