Last night was his 137th appearance in European competition - a British record.
Asked about Carra's achievement, Kenny Dalglish said: "It sums up his contribution to the football club. He's been a magnificent servant for the club. He's been here since about 12 years of age, so for him to walk away tonight with that honour speaks volumes for him and also for the success the club has had.
"I wouldn't say right-back is his favourite position. We were trying to give him a wee break tonight but the injuries changed our mind. We brought him on and he slotted in with no problem.
"We'd much rather have him with us than against us. He's a great credit to himself, the club and professional footballers in general."