Quins turned in a five-try display that kept the heat on Bath and London Irish in the race for a top-six finish and Heineken Cup qualification.
Irishman O'Shea believes it should prove to be the ideal preparation for the European clash and says his side are braced for the challenge ahead.
"Next week will be a fabulous, fabulous experience, and we'll be ready for it," he said.
He added: "We'll focus on Saracens and the Premiership next Saturday, but until then it's about bringing our game to Munster."
As for the win at Headingley, inspired by Leeds-born Danny Care who set off the try-scoring and was followed across the whitewash by Joe Gray, Jordan Turner-Hall, Nick Easter and Mike Brown, he said: "It was very hot, we lost a bit of shape towards the end but we were still trying to play.
"Only one team have got a bonus point up here this season, but we know on our day we can challenge people because of the way we play.
"We've given ourselves a chance of the top six, it's not in our control but it's a chance.
"If we continue to play like this then we can continue playing for the ultimate challenge."