The 20-year-old was signed for around £400,000 from Central Coast Mariners in January and created a goal for Kris Commons in his first appearance as Celtic secured a 3-1 success.
However, Rogic has been left out of Celtic's UEFA Champions League squad because boss Neil Lennon wanted to stay loyal to the players who helped his team reach the knockout stages.
"I got into the club a week ago, so I can't have any complaints," said Rogic.
"But you go out every game trying to make a statement, I guess, and show him (the manager) 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.
"I think it was a good performance all round from the team.
"Obviously a lot of players were rested (ahead of the Champions League clash with Juventus) but I think we still had a pretty strong squad and there were some very good players guiding me through the match, which made it a lot easier."
Rogic's fellow Celtic midfielder Victor Wanyama is looking forward to the meeting with Juventus and says there is no reason why the Scottish champions cannot prevail.
He told The Independent: "McDonald Mariga (Wanyama's brother, who plays in Italy) knows Juventus and that they are a good team, but he says nothing is impossible, anybody can win.
"For me, beating Juve would be a bigger step than beating Barcelona because, at this stage, it would be a massive bonus for us and give us the chance to go to another level of the Champions' League."