It is not known whether Matic was at police headquarters to lodge the report, but he was heavily criticized by Hearts fans.
The Phobians have endured a poor run of form in recent weeks, dropping them to sixth in the Ghana Premier League.
The Matics have won just one of their last five games and were beaten by cross-city rivals Great Olympics in their last league game.
The team’s inconsistency, coupled with poor results, has put the Serbian coach under pressure, with some fans calling for his departure.
Earlier this week, some fans vowed to chase Matic if he showed up on the touchline for Sunday’s Super Clash against rivals Asante Kotoko.
PRO Coby Jones of the National Chapters Committee of Hearts had warned Matic on Sunday not to step on the touchline.
“Some supporters – who I support because Matic is not doing well, want to leave them out” He said as quoted by Joy Sports.
“If the management doesn’t stop him from being on the touchline [on Sunday], we resist him because we believe he will not help us. We will do it. “
Speaking to Accra-based Asempa FM in a separate interview, Kobby Jones, as quoted by Kikgh, added: “We cannot allow Matic to lead Hearts of Oak to play against Asante Kotoko.
“They are from Serbia and if something happens, they will go but we will bear the pain. They have fired all the senior players and now the team is failing to perform. We will not let that happen.”
Hearts host Kotoko in the biggest fixture in the local calendar on Sunday, with the game doubling as the Presidents’ Cup.