The Wales international was brought back to Anfield for a second spell by Kenny Dalglish in the summer.
Bellamy is relishing his time at Liverpool and thinks anybody should be proud to wear the famous red.
“To represent this club is a privilege, but you do have to carry a certain responsibility and style of play,” he told the club’s official website.
“Fortunately we do have a lot of Liverpool players here who do deserve to play at this club. Touch wood, we will have a very positive season.
“We're a good team, there are no doubts about that. We are part of an incredible football club. When you go out onto the field, it's not just 11 players - it's 22/23 players.”
The former Manchester City striker scored the first goal in Liverpool’s impressive victory over Aston Villa at the weekend and felt his team controlled the game.
“The two early goals helped us and put us in a good position. It can always be a tricky scoreline, but I thought we were quite professional and kept the ball,” he added.
“We had a couple of opportunities to score on the break in the second half as well, and I thought we were worthy winners.”
Bellamy was making only his fourth league start of the season and rewarded Kenny Dalglish’s decision to recall him by opening the scoring.
He will be hoping to keep his place in the side when they travel to Wigan on Wednesday for their next Barclays Premier League fixture.