Warriors opened their European campaign with a bonus-point win over Sale Sharks at Scotstoun on Saturday.
Carolan says he hopes the nature of the win showed Glasgow supporters how ambitions the squad is.
Carolan told BBC Scotland: "We talked a good game and it was important for us to back that up with a performance.
"If we can bring some of that panache to Toulon on Sunday, I think it's a true reflection of how we want to try and play the game. I think that's where most questions will be answered.
"Hopefully [the win on Saturday] left a lot of our fans flabbergasted by how ambitions we are, how brave we are and how accurate we can be.
"Our expectations are high. Unfortunately we crashed out in the last 16 last year. From that, we went on to win the URC and that's certainly created a lot of belief in our squad.
"We've been regarded as the underdog, but we've proven now we can beat anybody. We don't see ourselves as the underdog anymore and I think that has flipped on its head."