The 19-year old Czech-born, German-raised midfielder made his first appearance in the final game of last season as the Hoops completed their title-winning campaign with a big win at Kilmarnock, providing an assist for Joe Ledley.
So far this pre-season, Celtic boss Neil Lennon has been thrilled with the training performances of Twardzik, who was impressive in the friendly draw with Augsburg last weekend, and the Czech Republic U19 international is planning to become a more regular fixture after getting a taste of life at the top.
"It was a great experience to be part of the team that won the title," he said.
"Providing the assist for Joe Ledley's goal was brilliant and something I will never forget.
"It was my first competitive game and finally I felt part of everything after setting myself a target of three years to make the first team.
"The manager is very happy with me. If I continue to do well then I should get more games.
"I don't think about specific matches, like the first Champions League qualifying tie. I'd settle for a few minutes of game time in that tie but it's up to me to play well in the meantime.
"I'm hoping for two more games on tour in Germany to begin with. I feel ready to play in the first team and I'll do my best to prove that."