Martinez was sacked as Everton manager last week, with the Toffees in awful form.
Martinez left Everton with the Merseyside club sitting in 12th place in the Premier League table, and having won just once in their last 10 matches.
However, Everton responded well to Martinez’s sacking and picked up a 3-0 win on the final day of the season against Norwich City - with David Unsworth in charge.
Wright felt that Everton’s display in the fixture shows what might have been, had Martinez’s tactics been better this season.
“That’s exactly what I would say [that Everton can play if they have good tactics],” Wright said. “Everyone gave him so many plaudits for the way Wigan played, but they were always battling relegation.
“I’m hearing that he didn’t have a defensive coach, and that’s what I believe he should have had.
“That’s all I believe Martinez needed. In the end, his coaching abilities let him down because I don’t believe defensively he was very good.”
Everton had the better of the match Norwich for large periods and the scoreline reflected their dominance.
The Toffees scored through James McCarthy, Leighton Baines and Kevin Mirallas to secure a comfortable success.
The win lifted Everton into 11th place in the Premier League table.
Ronald Koeman and Frank De Boer are amongst the favourites to land the permanent manager’s job with the Toffees.