The Reds' runners-up finish last season sees them return to the Champions League for the first times since they were knocked out of the group stages back in the 2009-2010 campaign.
Rodgers has so far spent around £60 million on the likes of Emre Can, Rickie Lambert, Lazar Markovic and Adam Lallana, and the strengthening looks set to continue with deals for Dejan Lovren, Loic Remy and Divock Origi all reportedly close to completion.
The bolstering of the squad has been largely financed by the £75 million exit of Luis Suarez to Barcelona, but Fowler thinks the five-time European Cup winners can thrive in the new season, despite the loss of their 31-goal double Player of the Year.
Speaking to the club's official website on their tour of the United States, Fowler said: "We're all enjoying being here again. It's the start of something special. We were here two years ago and it's good to be back. It was brilliant, playing in an iconic stadium [like Fenway Park], a fantastic place to play football.
"It's all about getting the players fit and ready for the new season. But if you're playing in a tournament with the calibre of these teams and you're getting wins, the players will gain a little bit of confidence from that.
"Let's hope they do well and stay injury free, which would be a massive bonus as well. Regardless of where you are in the world or whatever tournament it is, you're always in it to win it."
Liverpool's tour of the US sees them play AC Milan, Olympiacos and Manchester City, and the former striker, who has now taken on an ambassadorial role, thinks each side holds their own particular rivalry with the Anfield outfit.
"There are some fantastic teams here," he added. "We're in a group with Olympiacos, Manchester City and AC Milan. You think of Manchester City back home and the rivalry we've got now.
"You think of Olympiacos and 2005 in the Champions League, then certainly the final with Milan. There's a lot to play for in every game. It will be special.
"All over the world, the support we get is phenomenal and I'm expecting the same thing again. There are some other good teams but our support far outweighs the others."
Liverpool begin their new campaign with a home game against Southampton on August 17.