The youngster made his Rangers debut in the 2-1 win over Charleston Battery.
Lewis Cook is reportedly heading to Bournemouth in a £6m deal.
The Toffees boss has retained the services of Duncan Ferguson.
Ibrox side Glasgow Rangers have been on tour of America over pre-season.
The Arsenal keeper has backed his boss to stay at the Emirates.
The pair formed part of an excellent defence during their time at Southampton.
The Hoops arguably have two contenders for the role following Moussa Dembele's arrival.
Ibrox side Glasgow Rangers signed Matt Crooks from Accrington Stanley.
The Manchester City star had a difficult European Championships, and the England legend has told the country's new manager to go with the Stoke man instead.
Leeds United continue to strengthen ahead of the new campaign.