Hooker Jamie George says Saracens are "desperate" to win the European Champions Cup ahead of their first pool stage match at home to Toulouse.
Sarries were beaten finalists in the competition's previous guise, the Heineken Cup, in 2014.
"We have had a taste of it over the last three seasons and are hungry for more," George told BBC Radio London.
"It is one of the biggest club competitions in the world. It would be great to finally get our hands on it."
Saracens have started their defence of the Premiership title with four wins but George says continental competition is "more intense" than the domestic game.
"Teams know the importance of it and it is something every player in Europe is desperate to win," the 25-year-old added.
"It's not necessarily a better standard but teams are much more switched on. There is an international intensity to these games and, being a player who wants to play at the top, these are the games you want to be involved in."
|Saracens in Europe|
|2010-11: Finished bottom of pool below Leinster, Clermont Auvergne and Racing Metro|
|2011-12: Knocked out in last eight by Clermont, losing 22-3 at home|
|2012-13: Beaten 24-12 by Toulon in semi-final at Twickenham|
|2013-14: Reached final at Millennium Stadium but beaten 23-6 by Toulon|
|2014-15: Lost 13-9 to Clermont in semi-final|
Saracens host four-time Heineken Cup winners Toulouse at 17:30 GMT on Saturday and then travel to Ireland for their second group match against Ulster on Friday, 20 November.
George is keen to impress on the European stage as he seeks to boost his international credentials, having made his England debut in the World Cup warm-up match against France and then featuring in the tournament win over Uruguay.
"It has been a whirlwind six months," he said. "At the beginning of the summer I wasn't involved in the squad and finished it with three caps for England, having played at a home World Cup.
"That was something I have dreamt about for a long, long time.
"I am happy with how I am progressing. I have had a taste of it and am desperate for more. I know it is games like this where I have to be at top form to be pushing for representative honours."