Moyes' men take on Olympiacos in Greece on Tuesday in the first leg of their last 16 tie, and the Scot talked up his side's chances of claiming a fourth title come May.
"I see this as an opportunity to try and win the competition," he said.
"We have to go as far as we possibly can and win it, if possible. But we first have to get through this tie."
"I'm looking forward to the game, I really enjoy these games," he said.
"To win the group was an advantage. I'm looking forward to a really tough game against Olympiacos. We have to play well to qualify.
"Olympiacos have done very well against Paris Saint-Germain and Benfica. They came through a difficult group and are tough at home. It is a tough game."
"We've got the quality to go far," he said.
"The aim is to get a result. Of late, our performances have been good. We're playing well and we've improved and our form in the Champions League has been excellent so far.
"You normally need a bit of luck to go through but we have the quality in our team to go far, so hopefully we can do that.
"Every player wants to win trophies. I'm no different."
