The Uruguay international helped him open his account in just his third appearance since re-joining the club in the summer, against Brighton in midweek.
Bellamy's last competitive goal came for Cardiff on the final day of the npower Championship regular season on May 7.
Deadly duo: Luis Suarez (left) and Craig Bellamy celebrate at Brighton
But after being given his first start in Wednesday's 2-1 Carling Cup win, and a chance to link up with the player who has played a huge part in the club's rejuvenation since manager Kenny Dalglish took over in January, the Wales international was delighted to be up and running early.
'I managed to link up with Luis Suarez who is such an impressive player and it was a good feeling,' he said. 'It was a nice goal and I was pleased with it.'
Despite the 32-year-old's reputation for having trouble follow him wherever he goes, Dalglish has had nothing but praise for a player they picked up for nothing after Manchester City agreed to cancel the final year of his contract.
On target: Bellamy scored his first goal back in Liverpool colours this week
Bellamy left Anfield in 2007 after just one season but Dalglish believes he has returned with a determination to do better than his first brief spell, in which he scored nine goals.
'We knew what we were getting when Craig came in. We've said many times before what Craig brings to this football club,' said the Scot. 'He had a year out last year when he played at Cardiff rather than in the Barclays Premier League and I think we are getting the benefit of that because he has got a hunger to come in and impress.
'He's got a desire because maybe he went away with a bit of unfinished business the last time he left here. So he's got a desire to relight that and we'll get the benefit of it.
Unfinished business: The Welshman could have a point to prove at Anfield
'He'll make a contribution to the football club over the length of his contract and hopefully last night was just the beginning for him.
'He loves playing football and is really enthusiastic. He wants to do well and we'll help him to do that all that we can.'