The Spaniard is delighted at how his side have reaped the rewards from staying patient in their approach after a convincing win over Serie A's most in-form outfit on Saturday
The capital club have begun to enjoy success under the former Barcelona B tactician despite a difficult start to his reign, with their emphatic win over the unbeaten new boys making it two successive wins and maintaining an unbeaten run of four matches.
And Luis Enrique has praised Roma's continued development.
"This is the football that we want to play; keeping the ball with the intention of trying to score goals," he told Sky Sport Italia after the match.
"We have to be patient if we want to succeed, and it cannot be done quickly," the 41-year-old continued. "Now I'm happy to cheer my team on at the Olimpico.
"Does the team have more confidence now? I think so. We played against the most in-form team in the league, so I [must] congratulate the boys."
Roma temporarily move up to third in Serie A, but await the results of the league's other sides, starting with Inter's visit of Napoli on Saturday.