The Canada wing has yet to feature for Gregor Townsend's side this term, although he made the bench in the vital 24-13 win over Treviso last weekend.
The winger joined Glasgow on a one-year-deal in the summer after becoming the youngest-ever player to win a full cap for the Canucks when he made his debut at 18.
But, with the international break beckoning, and the 20-year-old named in the Canada squad that will face Samoa, Russia and New Zealand Maoris in their Autumn Test Series, the young back is keen to gain some PRO12 experience before he heads home on national service.
Paris said: "I am desperate to gain some experience in the PRO12 and it would be great to be heading home on the back of a run-out for Warriors against the Dragons on Friday night.
"I knew when I came here it would take time to establish myself and that patience would be important. It was great to make the bench for the Treviso game, although a bit frustrating not to get on.
"But Gregor has been very good with me and given me a lot of encouragement, and I know that I still have a lot to learn and to develop as a rugby player.
"But it would be great to make my debut at home against Dragons as Scotstoun is a great venue and I'd love the chance to show what I can do in."
Paris has enjoyed regular game time with Dundee HSFP as part of Warriors head coach Townsend's policy of keeping his fringe players active with regular game time.
But he has taken heart from the success of Tommy Seymour, who has made a big impact with Glasgow this term and who scored two tries at the Stadio di Monigo to mark his first inclusion in the Scotland squad.
Paris said: "When I look at the success that Tommy has enjoyed this term then I can see that he has had to be patient for it. But he has really taken his opportunity in his second season. He is definitely a guy I can learn from.
"But it has been good to get five or six games under my belt with Dundee. The last thing you want as a rugby player is to be training all week and then not getting any game time. So I feel like I am pretty sharp and I'm just hungry to make my debut."
Paris, who has three caps for Canada and played at the Rugby World Cup 2011, is also excited about the Autumn Test Series awaiting him.
He said: "They are three big games for us and everyone knows how physical and tough Samoa and the New Zealand Maoris are. But Russia will also be a really tough challenge for us.
"Hopefully I will get plenty of game time."