Serbia's £17million left back upset Scotland with talk about 'long ball' tactics after their clash at Hampden Park on Saturday.
A further declaration that 'all the teams from the island play the same way' has not been well received.
Told that Kolarov had described Wales as a long-ball team, Coleman retorted: "That's up to him. How much has he actually seen of us? Has he watched our games? Has he been scouting us?
"It's up to us to keep Mr Kolarov busy. If Gareth plays down his side he'll have to concentrate hard on his own style of play rather than worrying about us.
"They've got their own problems. We have been told that the game has been switched to Novi Sad because the crowd in Belgrade are disillusioned with their national team."
Mind your business: Kolarov played for Serbia during their 0-0 draw with Scotland