With two Super 15 titles from his 150 games for Crusaders, and two seasons with Toulouse, the hooker has a vast amount of experience to pass onto the younger members of the Glasgow squad.
With two Scottish internationals - Fraser Brown and Pat MacArthur - plus promising youngster James Malcolm in the mix, competition for a starting berth will be intense, but the former All Black says he has no intention of slowing down.
Speaking in the Herald, Corey said: "At the moment I want to play. In terms of coaching afterwards, it is something that spins my wheels but where I come from, there was always the mentality of 'leave the jersey in a better position when you go'.
"So we're competing for starting spots and playing time, but you want the person that's there to do the best job possible for the team. You're not there to try to hinder him; you want him to be able to perform and in turn that will make me perform better as well."
The 35-year-old also sees similarities between the culture he left in New Zealand and the one he has joined in Scotland.
"There's big desire, high work-rate, everyone's working for each other," he said. "Everybody has got a bit of a voice. It's an all-inclusive sort of environment. What we're brought up on [in New Zealand] is the culture of a group.
"I knew after my two years in France that this is how I wanted to finish my playing career. I didn't want to be banging my head against a wall, I wanted to know the direction I wanted to go in and that allowed me to make my decision. It was a big attraction for me."