Jol was criticised by supporters after a stuttering start to the season, but has the backing of American billionaire Khan.
"He is the man for me," Khan told Sky Sports News.
"You have to keep in mind he is a very experienced guy and the start we have had, whether you're Martin Jol or any Fulham supporter, you're not happy and we can do better, and our players are a lot more talented and they proved that on Monday night.
"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.
"It was a break-out moment and I hope this now continues."
Khan was thrilled to watch the 4-1 win at Selhurst Park, during which Steve Sidwell scored a stunning volley bettered only when team-mate Pajtim Kasami struck an outrageous one of his own.
On Kasami's volley, Khan said: "It was unbelievable and I kept looking for the replay on the video board and I had to go back in and see it on the television.
"It is one of those things - did I really see what I saw?"
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- Martin Jol
- Sky Sports News