Coleman said that Ramsey is suffering from a recurring injury and that it is not worth the risk of a setback in a friendly match should he take a knock, but did admit that it was a blow not to have him available.
"The problem we've got is that he had the same injury problem after Christmas - it was recurring," Coleman told Sky Sports News.
"We thought he could come with us, but we think he needs a good rest. He is a loss, of course he is, and we are a better team when he is with us, that's obvious.
"But we didn't want to take the risk, neither did Aaron, nor Arsenal, I would have thought. He is getting married also, but that's after the game, so that wouldn't have been a big problem, but we think he needs a bit of a rest so we can get him ready for the start of the season."
Ramsey has been capped 30 times by Wales.