The Ghana international midfielder joined the Cottagers on a free transfer in May after being released by Ukrainian side Dnipro Dnipropetrovsk.
"It's been a very good experience for me," Boateng told the club's official website. "Being in the Premier League has been great and training alongside the kind of players we have here at Fulham. I'm getting used to the league and am very excited to be here."
Fulham return to league action on Saturday when they entertain West Bromwich Albion.