The Australian forward arrived in Glasgow's East End after securing a switch from A-League outfit Central Coast Mariners.
But his rise from the amateur leagues of Australia has been swift, having only signed professional terms with the Mariners in January last year.
The Australia international, however, insists he must now convince Hoops boss Neil Lennon that he has the ability to back up his potential and secure a place in the SPL champions' line-up.
Rogic, 20, told the Celtic View: "The past year has been massive for myself. I signed my first professional contract in January last year, this is pretty much 12 months on, so I have done quite well since then.
"I have progressed at a fast rate so it's been a great 12 months and hopefully I can continue to develop and go forward in my career.
"There were probably times when I doubted what was going to happen in my football career.
"The past 12 months have been great but it certainly hasn't come without hard work. I know that.
"This is really just the beginning and I have a long way to go and a lot of things to work on before I can consider myself a good footballer.
"But I feel I am in the right hands and in the right place here at Celtic.
"It's a step up from what I'm used to but something I feel I can adapt to and I'm just looking forward to developing and progressing here as a player, and hopefully I can contribute to the club's success over time.
"I have had a big year, made my debut for the Socceroos so to now sign for Celtic, I am really proud of it and I'm looking forward to getting started."