The 25-year-old winger joined Everton from Leeds United on a season-long loan before the window shut, but missed the beginning of the season due to a muscle injury.
On Wednesday, Leeds loanee Harrison made his Everton debut against Aston Villa in the EFL Cup and featured for 65 minutes for the Toffees.
Harrison impressed Dyche with his performance and the Everton boss praised the winger for his excellent display.
Dyche pointed out that for Harrison, who has been out of action for a long period, the Leeds star performed at a high level with technical and tactical sharpness.
“Jack Harrison, I thought, was excellent, as I said after the game”, Dyche said at a press conference.
“Not necessary because his technical and tactical performance in the sense of being as sharp as he will get, but someone who has hardly had any football really, he had training, to be clear, actual football as in playing games at this level, it has been minimal for a long period and I thought he looked really sharp and really well.”
Everton are set to take on Luton Town at the weekend and it remains to be seen whether Harrison will be able to get into the starting line-up for the Hatters game.