Suarez made his eagerly-anticipated return to football in the loss at the Santiago Bernabeu, after serving a four-month suspension.
Despite admitting that he was powerless to influence the result, the 27-year-old has drawn positives from the fact that the Catalans remain one point above Madrid in La Liga.
"We need to think about this match but we are still one point ahead of Real Madrid and we have to go on," he told reporters.
"For these late few weeks I have trained every day thinking about this match and I felt ready to play. The coach took the decision and I was available. I felt good and I tried to do everything in my power to help my team.
"You always want to mark your debut with a win and the result was not good for us considering the occasion, but I gave my all."