The 21-year-old joined the Cottagers in January 2013, but only made his debut for the club on the final day of last season, with Felix Magath's men already relegated.
"The confidence from Magath is positive but the most important thing is that I get more playing time next season," David told Voetbal International.
"If that could be at Fulham that is fine, otherwise I have to look further.
"Both clubs have been in touch, But I will hear from my agent.
"FC Twente is also a nice club, and I know the coaches well."
"Besides that I have many friends and family in the region."
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