The Edinburgh club will kick off the Scottish Premier League season this weekend with a trip to St Johnstone, already trailing the rest of the league by 15 points, after being deducted that total for falling into administration.
However, 21-year old versatile Australian defender McGowan has a positive feeling despite the off-field chaos.
"It's going to be a surreal season, but one of those that's going to be remembered. Everyone's written us off so there is no real pressure," said the younger brother of former Hearts star Ryan.
"We will be looking to just go out and enjoy ourselves and hopefully wins will come.
"Pre-season gives us more hope we can haul back the 15 points.
"In-house we definitely believe we can do it. I would not be standing here if I did not think we could do it.
"There were plenty of chances for people to leave and if you are up for the challenge there is no point in being here.
"Minus 15 points is not a great start to the season and everyone has us down as relegation favourites, which is understandable.
"We are a young team and unproven, but we might just take a few people by surprise."