Gerrard has been criticised in the past for not transferring his club form to the international stage against some of the world's best teams but Carragher believes his team-mate always raises his game when faced with quality opposition.
"We would have been delighted at 1-0 but to get the second with a great goal by Stevie was the icing on the cake," said the centre-back.
"You see some of the names they (Inter) have got and he is the one that does the decisive thing at the end of the game.
"There were a lot of world class players out there on both teams and he stole the show again."
Faced with 10 men the hosts were expected to go on and win but had to wait patiently until five minutes from time to end Inter's resistance.
"You do (worry the breakthrough will not come) but as a defender you have to make sure the back door is closed. We can't really get involved in what is going on up front," he added.
"It was important not to concede a goal in the home leg, especially as we were playing it first. It was a big thing on our minds at 1-0 not to let one in."