Coleman believes that earning three points with a depleted team should be a statement of intent from his young team, insisting that they did enough to merit a hard-fought win.
He told BBC Sport: "It is one of my happier nights. When you get a lot of young players in the squad and then we get a result like that for us it was a show of intent.
"We wanted to show people that we have got a little bit of depth in the squad, more than what we thought by the looks of it, because I thought our lads were absolutely brilliant.
"We played some great football at times, made chances. We rode our luck a bit, they had a few chances but overall I thought we deserved to win it."
Wales now sit fourth in Group A ahead of their final qualifier against Belgium, who have already earned safe passage to next summer's finals after beating Croatia earlier today.