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His side lost 2-1 against Sunderland a few days ago and will take on Leicester City on Monday in the season opener.
The likes of Rio Ngumoha, Trey Nyoni and Armin Pecsi could all feature heavily for Liverpool at U21 level this season, though each has been with the first team throughout the summer.
As for Wright, who was signed from Salford City a few weeks ago in a deal worth around $266k (£200k), he is expected to be a key man at U21 level.
The teenager rejected advances from Arsenal to move to Liverpool, in part because of the pathway to senior action on offer.
He also wanted to remain in the North West.
Wright is only 17, but last season he played against Manchester City in the FA Cup and then made two more appearances at senior level in League Two.
In addition to Arsenal, Brentford, Leicester City and Burnley have all kept tabs on Wright
Manchester City kept an eye on him too, though it never formalized that interest with a move.
In all competitions and in all age groups, Wright scored more than 50 goals for Salford last season
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