The Reds secured their place in Europe’s prestigious youth tournament when the first team advanced to the Champions League via last month’s play-off win over Hoffenheim.
Gerrard, who took up his new role as Liverpool‘s U18s manager this summer, was elected to lead the U19s into Europe.
And UEFA.com has listed a 40-man squad for the 37-year-old’s first foray into Europe since retiring as a player in 2016, including first-team fixture Woodburn.
The Wales international, who scored on his debut for Chris Coleman’s side in the last international break, is the marquee name in Gerrard’s selection.
Irish centre-back Conor Masterson, U18s captain Liam Coyle, promising Dutch winger Bobby Adekanye and young striker Rhian Brewster are among the other key names in Gerrard’s squad.
Woodburn’s fellow academy graduate, Trent Alexander-Arnold, misses out, however, with the 18-year-old now fully established as part of Klopp’s senior squad.
Yan Dhanda is a surprise omission, while Ovie Ejaria is also left out despite both being eligible, likely due to their key roles for the U23s this season.
Addressing Woodburn’s development after his successful breakthrough for Wales, Klopp revealed the youngster would be considered for every level of football in 2017/18.
“There are so many stories from the past when very young boys showed up and later you didn’t hear anything of them anymore. It will not happen with Ben,” he told LiverpoolFC.com.
“I think he is in the best hands here at Liverpool. We will do the right thing; he will play youth, he will play U23s, he will play first-team football.
“The main message is he needs to play football. He trains with us always and then we will decide each weekend where he can play.
“Our target is that we have him in the first team because we like him, we see his quality and that’s the main thing.
“But for us it’s not too important if it’s tomorrow or in a year, it’s just important that we can use him then. That’s what we try to prepare.”
Gerrard will take charge of his first UEFA Youth League game on Wednesday evening, against Sevilla at 5pm (BST), with the young Reds’ fixtures mirroring the first team.
Liverpool U19s Squad for UEFA Youth League
Goalkeepers: Grabara, Atherton, B. Williams, Jaros
Defenders: Masterson, Johnston, R. Williams, Driscoll-Glennon, Raitanen, Clayton, Badhawi, Walls, Savage, Rain, Brookwell
Midfielders: Coyle, Kane, Lewis, Hunter, N. Williams, Tagseth, Sharif, Jones, Camacho, Longstaff, Glatzel, Dixon-Bonner, Bearne, Beck, Durrant, Clarkson, Cain
Forwards: Woodburn, Brewster, Adekanye, McAuley, Simmonds, Millar, Griffiths, O’Rourke