Speaking in the Evening Times, Ryan said: “We were the first Scottish side to win a title, so why can’t we be the first side to win an away semi?
“I believe that we can do that with the team we’ve got, with everything we’ve got here. We’re happy to go over there and really push them.
“It’s a huge game. It’s one of the biggest games the club has ever been involved in.”
Alex Dunbar is injured and Sila Puafisi is suspended so changes will have to be made but Ryan is sure that whoever is chosen for this game will be able to rise to the occasion.
“I think it’s 56 players we’ve used this year, which is an incredible amount,” Ryan said. “It’s also competition for places - everyone’s pushing each other here.
“We can slot in where we think we may need someone bigger, or different styles of attack. I’m not sure what Connacht will be thinking, but we’ll do everything we can.
“We can play a number of different ways. I think last Saturday we didn’t get to fire many shots at all.
“Their defence was outstanding: they kept coming up on us, putting pressure on us. I think that’s one thing that maybe took us back a bit. We were shocked by their defence - it was on top of us.
“That’s something we can look to manipulate. If you’ve got a team that are flying at you like that, there’s definitely places you can attack. We’re looking to go out and play the game that you’ve seen us play before, and play some good attacking rugby.”