The 32-year-old midfielder has decided to spurn the interest of recently relegated QPR to sign a three-year deal with Martin Jol's side, and joins for an undisclosed fee.
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“I’m delighted to be joining Fulham and I’m looking forward to meeting my new teammates at training tomorrow morning," Parker told the club's official website.
Fulham is an established Premier League club and I look forward to trying to help the team progress even further over the next three years."
Boss Martin Jol added: "I'm delighted that Scott has joined us.
"He's a midfielder who works tirelessly for his team and is a fantastic player both on and off the ball.
"It is wonderful to see a player of his stature playing for Fulham Football Club as he has shown his qualities in the Premier League and for the England team for many years.
"I'm happy that he's here and joins us for training ahead of our first home match of the season."