Liverpool edged closer to Champions League qualification with a 3-1 victory over Crystal Palace at Anfield on Saturday, but the result came with a sour note as Mohamed Salah went off with a suspected hamstring injury.
Carragher said manager Arne Slot should build the team around Alexander Isak and Florian Wirtz.
Chelsea battled from two goals down to beat West Ham 3-2 in the Premier League on Saturday with a stoppage-time Enzo Fernandez winner.
Eberechi Eze timed his return to the Arsenal scoresheet to perfection with two goals in a 4-1 derby rout of Tottenham Hotspur.
FC Barcelona hammered Newcastle United F.C. 7-2 to reach the Champions League quarter-finals, while Liverpool F.C., Bayern Munich and Atltico Madrid also advanced.
Arsenal took a seven-point lead at the top of the Premier League after a scoreless draw with Nottingham Forest on Saturday.
Liverpool could be 14th in the table by the time they kick off at West Ham on Sunday afternoon and they will be desperate to steady the ship with three points.
After Saturday's 2-1 win at Chelsea - their 12th in 13 league matches - Aston Villa have claimed 18 points from losing positions so far this season, more than any other team.
Arsenal re-established their five-point lead at the top of the Premier League with a 2-0 home win against Brentford on Wednesday and for the second evening running the goals flowed as Aston Villa won 4-3 in a thriller at Brighton and Hove Albion.
IMAGES from the Premier League matches played on Sunday
With two wins from two games, Spain top Group E on six points, while Turkey and Georgia follow with three apiece.
Cristiano Ronaldo scored the winner as Portugal fought back to beat Germany 2-1 on Wednesday and reach the Nations League final.
Germany secured a place at next year's World Cup by crushing Slovakia 6-0 in their final qualifier on Monday.
Bayer Leverkusen have sacked manager Erik ten Hag after two league games in charge, the Bundesliga club said on Monday, with the weekend draw at Werder Bremen not enough to save the Dutchman's job.
Liverpool agree 136.3 million euros fee to sign Leverkusen's Wirtz, reports say
Liverpool have signed French striker Hugo Ekitike from Eintracht Frankfurt, the English Premier League side announced on Wednesday.
Manchester United manager Ruben Amorim would have enjoyed some relative calm during the international break after backing from club co-owner Jim Ratcliffe but will find himself in the Premier League maelstrom once again at Liverpool on Sunday.
The 22-year-old German is Liverpool's most-expensive signing ever, ahead of captain Virgil van Dijk who joined for 75 million pounds in 2017.
Bayern Munich claim Bundesliga title following Bayer Leverkusen draw
Liverpool shrugged off the absence of Mohamed Salah as midfielder Dominik Szoboszlai scored an 88th-minute penalty to give them a 1-0 Champions League win at Inter Milan.
Isak's record Liverpool move caps Premier League's 3 billion transfer frenzy
Bayern Munich made it 16 wins from 16 games this season to underline their credentials as early Champions League favourites, beating holders Paris St Germain 2-1 away as Luis Diaz scored two goals and was shown a red card on Tuesday.
Goals from captain Kylian Mbappe and Michael Olise earned France a 2-0 victory over Germany in Stuttgart on Sunday.
Crystal Palace beat Premier League champions Liverpool 3-2 on penalties to win the Community Shield after an entertaining 2-2 draw at Wembley on Sunday.
Fresh off a dominant title-winning campaign, Liverpool kick off the new Premier League season on Friday as the team to beat, as the Reds have transitioned from Juergen Klopp's high-octane chaos to a more measured possession-based style under Arne Slot.
Nine players from treble-winning Paris St Germain have been nominated for the men's Ballon d'Or this year along with the club's coach Luis Enrique as France Football announced the list of nominees on Thursday.
Victor Boniface rattled the post with a powerful shot eight minutes after the restart as Leverkusen picked up where they had left off.
Winning back-to-back titles for the first time since 1984 is likely to prove a rather more arduous challenge for Liverpool.
Liverpool's Dominik Szoboszlai struck the first telling blow in the Premier League title race with a dazzling free kick late on giving his side a 1-0 victory over rivals Arsenal.
Musiala, named man of the match, said the high score had given Germany self belief to take into their clash with Hungary.
IMAGES from the UEFA Champions League matches played on Wednesday
Mainz 05's Lee Jae-sung scored either side of the break as the hosts stunned Bundesliga leaders Bayern Munich 2-1 on Saturday.
Images from the Euro 2024 quarter-final between Spain and Germany, at Stuttgart Arena, Germany, on Friday.
Images from the Euro 2024 Group A match between Germany and Scotland at the Munich Football Arena, in Munich, on Friday.
Germany are banking on a mix of hugely talented young players, including Jamal Musiala and newly-crowned Bundesliga champion Florian Wirtz, and experienced veterans such as 2014 World Cup winners Manuel Neuer, Thomas Mueller and Toni Kroos.
Germany, once the undisputed kings of European football, enter Euro 2024 with a point to prove
Germany midfielder Aleksandar Pavlovic will miss Euro 2024 with an illness and coach Julian Nagelsmann has called up Emre Can as his replacement
A round-up of Saturday's action in the UEFA Nations League group stage matches.
A summary of Saturday's action in the Serie A, Ligue 1 and Bundesliga
IMAGES from the Europa League semifinal matches played on Thursday.