City's squad are now dispersing for the summer - although some still have international commitments - after completing their post-season tour of the United States with a second successive win over Chelsea.
When they return for pre-season training they will be greeted by a new manager with Malaga's outgoing boss Manuel Pellegrini expected to be confirmed as Roberto Mancini's successor in the coming weeks.
The sacking of Mancini a fortnight ago after a year of relative under-achievement cast a shadow over the closing week of the season.
But City have successfully lifted spirits during a positive trip to the US and Barry feels confidence is restored.
The 32-year-old said: "We're disappointed with the overall finishing position in the league and to lose the FA Cup final but you can't win them all.
"You have to learn and we have to come back fighting strong for next season.
"The lads are already looking forward to it.
"The club needs to keep winning trophies. We've had a disappointing season in not picking one up but if we can keep setting high standards the club will move forward and, as a team, we will move forward."
During the week-long trip to the US, chief executive Ferran Soriano has publicly mapped out the club's ambitious plans for the future and dropped hints that Pellegrini will soon be installed.
City have also caused a stir by launching a new Major League Soccer franchise and their performances in defeating Chelsea in two friendlies will have further boosted their profile.
City beat the Londoners 4-3 in St Louis and followed up with a 5-3 success at Yankee Stadium in New York.
The combined attendance for the two fixtures of 87,725 justified the tour and it could be repeated, although the World Cup might make it problematic next year.
Barry, who scored the opening goal in New York, said: "It was a great spectacle and the supporters turned out in great numbers again.
"It was about something other than the result. We've had a great few days.
"Fans here and in St Louis have watched two great games with lots of goals and lots of attacking football.
"I'm not sure many defensive coaches will be too happy but it is great to see games like that.
"It is a massive step for Manchester City to get involved with a club in the MLS.
"Nothing like that has been done before. It's exciting times for the club."
City played positively at baseball's most famous venue and Barry put them ahead after just four minutes.
Samir Nasri added two well-taken goals and James Milner and Edin Dzeko also got on the scoresheet.
Ramires struck twice and Juan Mata curled in a fine free-kick in reply for Chelsea.
Attention will now turn to Pellegrini, who is leaving Malaga after the final games of the Spanish season next weekend.
Barry said: "For every player it is going to be a fresh start.
"The players don't know too much about who is coming in but I am sure whoever does come in is going to do a fantastic job.
"It is down to the players to work hard.
"There is a lot of talk about Pellegrini at the moment.
"Personally I don't know too much but people who do know him and have played with him speak highly of him."