The Welshman says he will respect his former club and is grateful he had the chance to play for them as he prepares to exact revenge for 3-0 league defeat last week
The two sides will collide for the second time in eight days on Wednesday in the first leg of the tie and the Reds will be looking for revenge after losing 3-0 at the Etihad Stadium last Tuesday.
Welshman Bellamy, who joined from City in the summer, insists these are the exact games he joined the Merseyside outfit to compete in.
“This is why you play for Liverpool and this is what it brings,” he told reporters.
“It’s great for the fans, but I prefer playing to watching these games as I can try to do something about the result. This is part of playing for this great club. But it’s not just about playing Man United or Man City.”
The striker also says he has always given his all for each club he has represented and despite obviously wanting Liverpool to progress to the final for the League Cup, he will show his full respect for his former side.
“I respect all of the clubs that I have played for,” he said.
“I have always given my all and I’d like them to think that I gave my all for them. I was very grateful for the opportunity to play there and it was nice they acknowledged that [during the game last week].”
Bellamy admits he has been impressed with City so far this season and admired the character they showed in a courageous but eventually fruitless comeback against Manchester United on Sunday.
"They have so many players with quality. The way they fought back to 3-2, I think the atmosphere in the dressing room would have been a lot more positive than negative afterwards. They played very well and gave everything they had," he said.
"I have been impressed with City this season. The tempo is a lot different to what they had last year and I feel they are a completely different team this season."