"After winning the league, we're desperate to make our name on the European stage and try and get the respect we feel we deserve," he said.
"We've been close in the last few years but not quite got over the line.
Speaking before Saturday's Euro opener against Racing 92, Peter said: "We played in some big games last season, there were some big moments, and that will stand us in good stead.
"This is the crown jewel of club rugby and every team is up for it that little bit more. The games are quicker, more intense.
"It's a really exciting group, exactly what you want to be involved in.
"It's the best in Europe all going at it, so it will be good fun.
"We probably don't have the same budget as some of the bigger teams like Toulon and co but on our day I think we can match anyone.
"There is no reason for us to fear the more established teams at this level but it's a massive challenge.
"We'll be doing everything we can to make sure we qualify for the last eight. After that, it's knockout rugby and anything can happen."