Matic’s side have also won just one of their last five games and were beaten by cross-town rivals Great Olympics in their last league match.
The team’s inconsistency, coupled with poor results, has put the Serbian coach under pressure, and some fans have called for him to quit.
PRO of the National Chapter Hearts Committee, Kobby Jones, said they will prevent Matic from stepping on the touchline on Sunday.
“Some sections of the supporters – who I support because Matic is not good, want him out,” he said, as quoted by Joy Sports.
“If the management is not going to stop him from being on the touchline [on Sunday], we will fight him because we believe he will not help us. We will do that.
Speaking to Accra-based Asempa FM in a separate interview, Kobby Jones added, as quoted by Kickgh: “We will not allow Matic to lead Hearts of Oak to play against Asante Kotoko.
“He is from Serbia and if something happens, he will leave but we will suffer. He has fired all the senior players and now the team is failing to perform. We will not allow that to happen.”
Hearts will host Kotoko in the biggest game of the local calendar on Sunday, with the game also doubling as the President’s Cup.