Stones has been in very good form in recent weeks and was a rock at the back for Everton against Manchester United on Sunday.
Crooks was impressed with what he saw of Stones and has backed him to establish himself in the England set-up in the coming years.
“The headed goal by John Stones was a further indication of the player's growing confidence,” the 57-year-old wrote on BBC Sport.
“I'm sure playing alongside Phil Jagielka has helped enormously and if he continues to develop at this meteoric rate he could be soon partnering his club team-mate on the international scene for England on a regular basis.”
Stones has been on the books of Everton since January 2013, when he joined the Merseyside outfit from Barnsley.
Last season the youngster made 21 appearances in the Premier League, and this campaign he has featured in 19 league matches.
It is clear that Everton manager Roberto Martinez rates him highly, and playing alongside someone as good and as experienced as Phil Jagielka is only going to help him grow as a footballer.