The midfielder picked up a calf strain in the win over Hull City.
Ramsey has been a huge part of Wales’ success in recent years, playing a key role alongside the likes of Gareth Bale in securing their place in France this summer.
He is currently fighting back to full fitness though, having picked up a calf strain in the FA Cup fifth-round win over Hull City earlier this month.
Ramsey should be back before the summer, but will be lacking in game time heading into the summer tournament.
But Coleman says that they are willing to take a risk on his fitness and include him in the squad regardless of that.
“Obviously, if we get the green light and he’s fit for the start of the tournament, it’s a no-brainer – he’s coming,” the Mirror reports him saying.
“If there’s even half a chance that he could start the tournament then, yes, he’ll be with us. It’s not quite like the situation Roy (Hodgson) has with Jack Wilshere. Aaron hasn’t been out anywhere near as long as Jack has been.
“He’s a super-fit boy and is confident that he will be ready. When I spoke to him I didn’t get the impression for one moment he feared he might not make it.”
Ramsey will certainly be keen to prove his fitness before the tournament as missing out would be a major blow to any player.
They have worked hard to get there in the first place, with terrific performances in the group stages earning them their spot in France.
With Bale in their side they have a chance of doing well in the competition and he will be eager to be as big a part of that as possible.