The Cottagers were above the relegation zone on goal difference before the 4-1 victory at Selhurst Park moved them three points clear.
Khan is hopeful that Fulham can now climb further up the Premier League table in the coming weeks.
"I think, and have believed this for quite some time, that we have great players and some of those are new to Fulham and some of them have been here for a while," he told Sky Sports News. "[The win] was a breakout moment and I hope this now continues."
Fulham continue their campaign on Saturday when they travel to high-flying Southampton.