The 23-year-old's career has stagnated since he made his £16 million move from Southampton to the Gunners way back in the summer of 2014.
A move away from the Emirates is surely what is needed in order to reinvigorate his career, and Craven Cottage could be the ideal place for him to flourish.
Chambers can operate as either a centre-back or a right-back - two positions where Fulham are looking to strengthen this summer, and the young Englishman could be a real hit in west London.
Despite making the odd high-profile error, the former Saints man is a solid defender, and still has a lot to offer at the very highest level.
His experience of playing for so many years in the top flight with Arsenal would also surely prove to be a great asset for Fulham upon their return to the Premier League.
Unai Emery is in the midst of a rebuild at the Emirates, and one area where he has chosen to strengthen already is his defensive department, which means that Chambers' first-team opportunities could be limited even more so this season.
A move away from north London would benefit Chambers himself, Arsenal and, of course, Fulham, who would be adding an extremely able defender to their ranks.