Up against flying Manchester City winger Leroy Sane, who gave him a tough time earlier this season, 19-year-old Alexander-Arnold produced excellent displays home and away as the Reds moved into the semi-finals with a 5-1 aggregate win.
And the Liverpool academy graduate, born and raised a stone’s throw from the club’s Melwood training ground, could go on to have a real legacy at Anfield.
At least that’s what Carragher – who had a 17-year spell in Liverpool’s first team – believes going off of the teenager’s first full season in Jurgen Klopp’s side.
Trent Alexander-Arnold was excellent across two legs against Man City
Trent Alexander-Arnold is the youngest member of Jurgen Klopp’s regular first-team startersTrent is going to be a Liverpool player for a long time. I honestly think he could end up making more appearances for the club than I did.
“He will need to avoid injuries, but he’s only going to get better and he’s going to take a lot of shifting.
“Trent got praise after the first leg against City but it was always going to be difficult to do it again as City were bound to have more possession and pose more of a threat.
“Leroy Sane is a top player and the nature of the game was that Trent was left one-on-one with him a lot of times, but he never panicked.
“It was great to see a local lad performing like that. Young players are bound to have ups and downs, and difficult games now and again like he did against Manchester United and Crystal Palace.
“He’s not the finished article but he’s got a lot of talent and he’s shown he’s got the right attitude and temperament to do with it.”
T Sport pundits Frank Lampard, Steven Gerrard and Rio Ferdinand even discussed the possibility of Alexander-Arnold making England’s World Cup squad this summer.
That’s despite the fact the U21 international – who has played 27 times for Liverpool this term, scoring three goals from right-back – has yet to make a senior debut for Gareth Southgate’s men. He did train with them recently however.
But Carragher believes his time with the Three Lions may have to wait just yet.
“There’s no doubt that he’s a future England international,” the former Reds centre-back said of Alexander-Arnold.
“From Liverpool’s perspective, Jurgen Klopp would probably rather he had a rest this summer after playing so many games.
“Trent won’t be far away from the squad. He might just miss out this time but he will go on to win a lot of caps.”