The full-back was pleased to see the Catalans keep a rare clean sheet, and hailed their defensive performance against the Russian giants
The right-back opened the scoring in the 16th minute before Lionel Messi put the match to bed with two more goals, but Alves was particularly pleased with his side's first clean sheet since their 1-0 victory over Valencia on September 2.
"Sometimes we’re exposed at the back when we all attack at the same time, but we defended their counterattacks well. We did a pretty good job," the Brazil international was quoted as saying on the official Barcelona website.
"It had been a while since we'd kept a clean sheet and we’re happy that we managed to do that against Spartak. I’m especially pleased for Víctor [Valdes].
"We played really well going forward and we put in a good defensive performance, but the important thing is how the whole team played."
The Blaugrana sit atop of Champions League Group G with 12 points from five games, and have a five-point lead over Celtic and Benfica, who are level on points in second and third spot.