Hearts face a projected £2million deficit between now and the end of the season and have numerous financial concerns, including the imminent deadline over a £450,000 winding-up order.
The William Hill Scottish Cup holders play Hibernian at Easter Road on Sunday and on December 8 against Aberdeen at home - an occasion which can help to finance the club, according to Fedotovas.
He said on the club's official website: "For the remaining 10 home league fixtures this season, if we were to achieve attendances of over 16,000 at Tynecastle then this would inject a much-needed £800,000 into the club and ensure our survival through until the end of the season.
"If we achieve a good run of sales in both the share issue and tickets in December it gives us a hope of improving our squad in January.
"It is in our power to do this and we hope that fans will continue to rally to the cause."