Restricted to just nine Premier League starts all season because of a persistent ankle problem, the 23-year-old was sent away for surgery last week.
Coyle told the Bolton News: "Mark showed when he was in the team what quality he possesses He's one I have really high hopes for.
"Next year is such a big year because I think he can go on and show what he has got.
"He has shown it in flashes but what I need from him is to get that consistently.
"If he manages that, then I think Mark could play for anybody at all."
Davies' loss has also been felt by the England Under-21s, with boss Stuart Pearce naming him as part of his 40-man squad for this summer's European Championships.
"When I spoke to Stuart Pearce a few months ago I know Mark was a big part of his plans for the summer tournament," he said.
"It hasn't been great for him from that point of view but it does show that, as with our football club, there are a lot of other people out there who admire and know of his capabilities. For his country to be one of them, it's a big plus for when he comes back."