The 2-2 draw was good entertaining for a season best crowd of 8,471 in north Wales.
The derby produced plenty of talking points, the Red Dragons going behind early on before totally turning it around before half-time.
But they couldn’t go in ahead - Andy Cook made it 2-2 in time added on and Mellon thought his side deserved to go on and take three points back across the border.
“Sometimes you have to measure the game by looking at the goalkeeper who has made the most saves, and I certainly don’t think that that was my goalkeeper,” said the Tranmere manager.
“Some of the saves he has made were terrific - I’ve got to give him every credit for that. We did everything that we could.
“Over the course of the 90 minutes, we edged it - and that’s me being honest. I think everyone who was at the ground of a fair mind would say Tranmere Rovers were the better side.
“For the first 15 minutes we played some incredible football, but then we weren’t professional enough to see it through after we scored our goal. We went 2-1 down and having played so well, that was strange.”
But Mellon wasn’t happy with a number of the decision make in the match.
“The game wasn’t decided by one of the outfield player, but by the referee again,” he said. “There were some big decisions that you just can’t get wrong.”