The Canada international returned to training on Monday along with small groups of Bayern teammates as German clubs began to resume football activities despite the coronavirus shutdown.
Bayern eased to a 3-0 victory away at Chelsea in the Champions League round-of-16 first-leg in February before the remainder of the competition, including their return leg at the Allianz Arena, was postponed indefinitely due to the pandemic.
"I really feel that with the quality have we can win the Champions League," Davies told ESPN. "I played really well [against Chelsea]. I did what the coaches asked me to do, defended well, attacked well.
"Obviously it is not going to be easy. There are still a lot of good opponents in front of us that we have to get past. Each and every day we have that in the back of our minds, that this year could be the year that we win the Champions League again.
"My favourite part about him [Flick] is that he lets us play, lets us be creative. He implements his coaching tactics, how he wants us to play, but at the end of the day, football is free-flowing. He just wants us to win games and enjoy playing our football."
Flick signed a permanent deal with the German champions last week, keeping him at the club until 2023. He first took temporary charge in November.
When asked whether North American players are finally receiving enough attention from European clubs, Davies added: "Yeah, I always feel like Canada have quality footballers and with us playing so highly in Europe it opens the eyes of other teams to look at our players.
"Even though it snows there [in Canada], even though we play hockey, we still play football. We're good at it."