Jagielka has been in wonderful form for the Toffees over the last 12 months, with the experienced defender proving to be a solid option for club and country.
This consistent excellence from the centre-back was rewarded in midweek as he was handed the captain's armband for England in their Euro 2016 qualifier against Lithuania.
And Martinez said of the achievement: “It was a landmark to become the first player to lead England out whilst representing Everton.
“Phil hasn’t got the recognition that his football deserved in the last 12 months - I felt he has been a captain through any sort of situation and he deserves that recognition.
“Everyone in the Everton family recognised that it was a proud moment and the performance that followed was phenomenal.
“To see Phil enjoying his football and playing in the way that he does for Everton shows you that he is an incredible asset.”
Much of the attention focused on Everton's defence in recent times has been directed towards John Stones, with the youngster earning widespread praise.
Stones has developed a reputation of one of the finest talents in the country, but he has been supported all the way by Jagielka.
The pair now boast one of the most formidable partnerships in the Premier League, and they will be looking forward to playing alongside each other again after the international break.
Stones has missed the Toffees' last two games through injury, but he will be back to full fitness at the weekend and is likely to start alongside Jagielka in Everton's match against Manchester United.