Abraham featured for 81 minutes before being replaced by Kyle Bartley in the 0-0 draw with the Saints.
The forward who went close to scoring in the encounter is confident of a better performance in his next outing.
“To hear the fans singing my name, especially in my first competitive game for the club, meant a lot to me,” Abraham told club website.
“It shows that they have confidence in me and I aim to repay them for that support by getting on the scoresheet.
“It was a difficult game on Saturday. I would have loved to have marked my debut with a goal - I tried my best and I went close with the header in the first half.
“Hopefully I can score a goal in my first league game at the Liberty against Manchester United on Saturday,” he concluded.