Alexander-Arnold, 20, has been struggling with injury all season and arrived at the camp nursing a back injury.
In a statement released England confirmed that despite progress it would be unlikely that Alexander-Arnold would be able to play, so he has returned to Liverpool to continue his rehabilitation.
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Alexander-Arnold is the fifth player to withdraw from the squad due to injury after Fabian Delph, John Stones, Ruben Loftus-Cheek and Luke Shaw.
The statement also mentioned that it would leave manager Gareth Southgate with 22 players in his squad.
That would appear to suggest that there will be no call up for the in-form Crystal Palace right-back Aaron Wan-Bissaka, who is currently with the U21s.

ENGLAND STATEMENT ON ALEXANDER-ARNOLD INJURY

Trent Alexander-Arnold has withdrawn from the England squad and returned to Liverpool.
The right-back arrived nursing a back injury and, despite progress in recent days, it was unlikely he would be able to play a role in the forthcoming UEFA EURO 2020 qualifiers.
The 20-year-old will now continue his rehabilitation at his club leaving Gareth Southgate with a 22-man squad.
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