Emanuelson joined the Cottagers on loan from AC Milan last week and made his first appearance for the club against Manchester United on Saturday as he was brought on in the second half.
He previously played under Jol during the Fulham manager's time as boss at Ajax and admits he was keen to renew the working relationship.
"Martin Jol was a big part of the move as I'd worked already with him," he told the club's official website. "I need a little bit of trust at the moment and he's a coach who believes in me. That is one of the big reasons why I came here."
Emanuelson believes Fulham were unfortunate to lose 1-0 at home to Manchester United, having been impressed by the performance of his new team-mates.
"It wasn't an easy game to make my debut in," said the Dutchman. "It was a tough match, but in the second half we really fought well and it looked like we would get at least a point.
"We fought as a team. You saw in the second half that we were getting stronger and stronger. We were unlucky in the box as well. But with the strikers they have, they can always score goals.
"We can be happy with the way we played but, of course, the result was not what we wanted."
Emanuelson replaced Giorgos Karagounis in midfield and says he is happy to play anywhere, having also gained experience at left-back and on the wing.
"I'm comfortable playing there (in the centre)," he stated. "I'm used to playing in a lot of positions and with my style of play I can play anywhere in the midfield. It's started for me now and I want to grow as a player and help the team.
"The result wasn't to be but I'm really happy that I got some minutes on the pitch and it went well.
"It's a good feeling to make my debut. I just want to play more than I was in Milan. I'd only trained once with Fulham before the game so I'm happy that I could play 25 minutes."