The Republic of Ireland international is delighted at "going to another level" on the goalscoring front but is keen to also build up his defensive skills next season
The Spaniard arrived at Goodison Park from Wigan in June and took the Toffees to fifth place in the Premier League, while working wonders with young talents such as Coleman, Ross Barkley, Gerard Deulofeu and John Stones.
The blend of youth and experience helped Everton mount a challenge for the final Champions League spot and, while they must make do with the Europa League, the right-back feels that Martinez's impact has been invaluable.
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"He told me to keep going from where I left off last season and he would put his bits into my game.
"I've gone to another level in terms of goals. It's something that I was missing so hopefully I can score some next season as well.
"As a full-back, your job is to defend, first and foremost, but this manager likes to attack."
Coleman played in all but two of Everton's Premier League games this season, contributing six goals from defence, and, while his performances going forward have impressed, the Republic of Ireland international is keen to focus on his defensive work.
He remarked: "Last season, earlier on I probably made a couple of mistakes but there are not many players who go through a Premier League season without making mistakes.
"[Defending is] actually part of my game that I enjoy doing. I know a lot of people see me attacking but I get great satisfaction in going one-on-one with a winger and coming out on top."