It was the Welsh forward's first strike in a red shirt since his famous Champions League effort at Barcelona in February 2007, and he also played a major role in the vital second goal which saw Dirk Kuyt fire home.
"It was a nice goal and I was pleased with it," Bellamy told Liverpoolfc.tv.
"I managed to link up with Luis Suarez who is such an impressive player and it was a good feeling.
"I thought we steamrollered them in the first half. Our movement and everything was outstanding, but it just proves that when you are so on top you need to score the second and third goal.
"We faded in the second half and they played well. We gave them the incentive but we knew it was going to be a hard fought game.
"It was a bit of relief for us when we got the second goal on the break but we are delighted to get through.
"We had a lot of players out there like myself who needed the 90 minutes and I enjoyed it."