The Celtic boss was pleased with the 21-year-old on Friday night.
The Scottish Premiership title beckons for the Bhoys after a 5-0 win over Dundee, a game which saw multiple scorers and several different types of goal for Deila's side.
Celtic's third came from a penalty - won by a run into the box from 21-year-old Fisher.
And Norwegian Deila singled Fisher out for praise for his role in the goal, stating that the Hoops need more of what he offered with his energy going forward.
Deila told reporters after the 5-0 win: "Some of the goals tonight were very good. For the second goal there was very good passing and movement and a good finish from Broony.
"The third goal was a penalty but the run before from Darnell - we need more of that, there was the counter-attack and the shot at the end was nice. We scored in different ways and I’m happy tonight."
Celtic's victory now leaves them 11 points clear of second-placed Aberdeen, who play their game in hand over the Bhoys later today.
Deila's men are now within touching distance of the Scottish Premiership title, meaning the Norwegian coach is set for a league and cup double in his debut season at Parkhead.
The treble was the ultimate aim, of course, and may well have come to fruition for Celtic without a controversial refereeing decision. But there's always next season...