The Toffees manager has tipped the youngster to have a bright future at the club after making a solid start in the Under 21s.
The defender was signed in a relatively low-key move from Barnsley over the summer, having impressed in the Championship for the Tykes since making his debut last December.
With Everton being so short on defenders, there was a chance he could feature in the Blues first team this season, with him being named on the bench for their League Cup game against his former employers.
He has also featured for the Under 21’s against both Liverpool and in their 4-1 over Tottenham Hotspur on Monday, and Martinez is delighted with the impact he has made on Merseyside and sees him going on to have a fine career at the top level.
“In the mini-derby, I felt that he was himself and I thought he showed what he can be,” he told evertonfc.com.
“It was terrific to see him walk into the dressing room and be able to be himself and train in the manner that he did. He’s only 18, he’s a very talented defender and I can see a fantastic future for him at Everton."
The John Stones effect
With both players having moved from Barnsley for minimal fees, it is natural that many are now comparing Holgate to John Stones.
The latter has enjoyed a meteoric rise at Goodison Park, with this summer seeing him become the subject of several big-money bids from Premier League champions Chelsea, as covered by Sky Sports, a clear indication of the impressive form he has enjoyed under Roberto Martinez.
Holgate will hope to enjoy a similar progression through the ranks. Indeed, it is easy to imagine that Stones’ development was a factor in his move, with the youngster having taken in a trial spell at Manchester United in the recent past - as reported by the Daily Mail.
If he can replicate even half of that success, Everton will be delighted as they seek to build a young squad that can compete for major honours in the future.