The 20-year-old, who joined the club from Central Coast Mariners in January, provided an assist for Kris Commons in the 3-1 win over Inverness Caledonian Thistle.
"I got into the club a week ago, so I can't have any complaints," said the Australian.
"But you go out every game trying to make a statement, I guess, and show him (the manager Neil Lennon) what you can do. I will keep working on the training pitch and the coach will see me every day, so I will keep going.
"It's a different style over here, so it might take me a little while before I get used to it and before I can play my best football, but I am quite happy with my first game."
Rogic moved to Parkhead for a fee believed to be in the region of £400,000.