The Phobians currently sit ninth on the table after drawing all three games thus far.
The Accra-based side played out scoreless draws with Inter Allies and Medeama, before holding Ebusua Dwarfs to a 1-1 stalemate on Wednesday.
“Our fans are not happy," Akowuah told Ghana Sports.
"I know they are expecting a lot from us. I know it was their wish to see us on top of the table by this time.
“We have three points so far. We have not lost a game. I want them to come in their numbers on Sunday and support us to victory.
“We want to win for them. Without the supporters, we can’t perform, so they have to come and support us to victory.
“Hopefully we will win for them on Sunday and make every Hearts supporter happy.”
Akowuah joined Hearts before the season from Medeama.