The 26-year-old made it into Roy Hodgson's World Cup squad this summer, having come to prominence through a pair of expert displays against Barcelona in Europe two seasons ago, and continued his form consistently with the Hoops.
This season's continental campaign begins with Tuesday night's second qualifying round first leg against KR Reykjavik in Iceland.
Forster told the Sunday Post: "Playing in the Champions League has definitely been good for me in terms of exposure. But it's been good for all of us and for the club too.
"We've all seen how big the Champions League nights are and it would be nice to get back in the group stages, but Reykjavik will be a tough away game and we need to play as well as we know we can."
Forster did not get an opportunity to touch the grass in Brazil with Joe Hart remaining England's first choice and Ben Foster getting the gloves in the dead rubber against Costa Rica.
But the Hexham-born stopper is determined it will not be his last taste of tournament football, and has Euro 2016 in France as his next target.
"One of my goals last season was to try to get into that squad and I was delighted to achieve that," he said.
"Our performances were really good in the tournament and it was just unfortunate we didn't really get what we deserved out of the games.
"The Euros are now only a couple of years away so I'm already setting my sights on that."