The Frenchman was left disappointed with his side's back four late on against Parma, but refuses to give up on the Serie A title
Rudi Garcia was left frustrated with Roma's defensive performance after they beat Parma 4-2 and cut Juventus' lead at the top to eight points.
Goals from Gervinho, Francesco Totti, Miralem Pjanic and Rodrigo Taddei had helped the Giallorossi to a comfortable 4-1 lead - with Afriyie Acquah netting Parma's goal - before Jonathan Biabiany netted his side's second in the closing minutes of the game.
"We shouldn't have conceded their second goal," Garcia told Sky Sport Italia. "It made me angry.
"Other than that, we entertained the fans, played beautiful football, scored great goals and both teams played very well. Parma came here to win and it was a real test of their ambition.
"We always play the same way, though today we did leave Parma a little more possession so we could go on the counter.
"It's a shame Mattia Destro couldn’t score, as he was unlucky with the crossbar. I hope he saved the goals up for next time.
"My team never gives up and that attitude allows us to be effective both in attack and defence. The movement is always useful."
Juventus are still strong favourites to retain their Serie A crown with seven matches remaining but Garcia is not giving up hope of leading Roma to a first league title since the 2000-01 season.
"Is the best yet to come? I don't know," he said.
"Until it becomes mathematically impossible we have to keep going and try to catch Juventus."