The Wales boss is delighted with the Swansea City defender's recent improvements, who is staking a claim for a regular left-back spot in Neil Taylor's absence through injury
The 19-year-old has risen through the ranks at the Liberty Stadium before making his debut for the club in August.
A long-term injury to first-choice left-back Neil Taylor has seen Michael Laudrup rely heavily on Davies, and the full-back has impressed the national team boss in his debut professional campaign.
"Ben has done well, he's only 19," Coleman told reporters.
"Offensively he's getting better and better and he's got a great mentality and attitude to football. Sometimes you get opportunities, sometimes you don't take them and sometimes you grab them with both hands and that's what Ben has done."
Coleman remains supportive of the crocked Taylor, but has warned the 23-year-old that he had a battle to regain his spot in the Wales starting line-up once he recovers from a broken ankle.
"We must remember Neil Taylor is a quality player and he's shown that," Coleman continue.
"I have had constant conversations with him because I know what it's like to be out for a long time and it's really hard. He just has to get fit and he can worry about where he's going to play after that."