The 23-year-old Belgian international admits he has found his debut season in English football tough going but believes he will be stronger next year as club enter Europa League
The Belgian international believes he has settled well despite the physical rigours of the Premier League and thinks he will be better equipped to perform next season.
Speaking to the club's official website, Dembele said: "It was my first year and when you come in you always want to do well and prove yourself. The Premier League is the best in the world and I'm very satisfied right now - although I can do much better.
“When a player arrives in England, from the very start people ask questions. 'Can they compete in this league?' 'Will the play be too physical?' 'Can he impose himself on matches?'
“Ten months on I’m in a position where I can answer those questions. Yes I can. I have always had confidence in the way that I play and I knew from the very start that I could cope. It has been a real challenge, I cannot deny that. But I think I will become a much better player for the experience."
Dembele looks set to play a huge part at Craven Cottage next season and is now relishing the opportunity to compete in the Europe.
"We will be playing in the Uefa Europa League too, and that is something that I am really looking forward too," he said.
"I know that the club did very well in that competition a few years back and I know we would all like to be successful again.
"It’s an early start for us, but we have to look at the positives – it is fantastic that this club will be playing in Europe for a second time in three seasons. Fulham played some of Europe’s top teams last time, and it would be great to experience nights like that myself.
"I’m looking forward to the challenge."