The French coach was pleased to see his side get back to winning ways and is convinced it has what it takes to challenge Juventus for top honors in Serie A
The Giallorossi remain unbeaten in the league this season but victory over la Viola - courtesy of goals from Maicon and Mattia Destro - halted a run of four straight draws and Garcia thinks a return to winning ways shows his team has what it takes to challenge league leader Juventus.
"Today what really mattered was to win and I am very happy for both the players and the fans," the Frenchman told Sky Italia after the final whistle.
"We are unbeaten and doing well, but Juventus are doing even better. They constructed a team to win the Scudetto and Champions League.
"I wish them all the best for Tuesday's game with Galatasaray in Istanbul, but Roma is in the Scudetto race too."
Destro returned from injury as a substitute to fire a brilliant winner after Juan Vargas' earlier equalizer, and Garcia was quick to praise the strength in depth of his squad - particularly after Miralem Pjanic was sent off for two bookable offenses and will now face a suspension.
"I have a good squad and someone else will take his place," the 49-year old said of Pjanic's impending absence.
"Francesco Totti didn't have more than 15 minutes in his legs, so it was better to give him another week of intensive training and he can be ready for next week.
"It was also great for Destro, who had been out of action for a very long time. He did well, changed the game and made his mark on the afternoon."
Roma remains in second place in the league table, three points off Juventus, and travels to San Siro next weekend to take on AC Milan.