The former Western Sydney Wanderers striker had a dream debut; converting an early penalty and heading home a late goal to but the result beyond the reach of Grasshopper.
Juric joined Luzern, a club coached by former Bayern Munich and Liverpool defender Markus Babbel, in early July this year.
Having started the first two matches off the bench, Juric made the most of his opportunity.
Juric received the man of the match award, as his Luzern side climbed to second in the table.
Juric did pick up a yellow card in the second half and was substituted to a standing ovation just before the end of the match.
Next week, Juric's Luzern face a top of the table clash with FC Basel.