The young midfielder also believes that Spurs are capable of enjoying a productive run on home soil, starting on Thursday.
Spurs open their European campaign against Qarabag at White Hart Lane on Thursday evening, their first ever competitive meeting with the Azerbaijani side.
They have used the competition as a means of testing their youngsters over the years, with Harry Kane famously breaking through into the side last season and using that platform to force his way into Mauricio Pochettino's Premier League plans.
Mounting a serious attempt at winning the competition has never seemingly been Spurs’ top priority, but Carroll insists, with the squad at their disposal, that should be the aim this term.
“At the end of the day we’re in the competition to win it,” he told tottenhamhotspur.com.
“I think we’ve got a good enough squad here to do that and after the win on Sunday it gives us an even more positive attitude to go and start off with a win against Qarabag.”
Spurs capable of a long home run
Mauricio Pochettino’s side will be in good spirits going into the game, having secured their first win of the new season over Sunderland at the weekend.
They are so far winless at home, however, having drawn against Stoke City and Everton, but will be hoping to rectify that with a win in their opening Group J fixture.
And Carroll believes they are more than capable of going on an extended run in Europe, with a win against Qarabag the perfect way to start it.
“I think playing at White Hart Lane always gives us an advantage,” he added.
“We’ve got a run of home games now and we want a run of wins – that would be the ideal scenario. It’ll be nice playing under the lights at home and all the lads are looking forward to it.”