At one point earlier this summer, it looked the Gorgie side would struggle to win its fight for survival as it battled against debts worth £29million.
But the decision to hand fans' group the Foundation of Hearts preferred bidder status and four points from the first three games contested by Gary Locke's side team has lifted spirits.
And Brown - working for free as he does his own part to help the Jambos in their hour of need - believes the gloom that has hung over the club since administrators BDO were called in around the middle of June is gradually shifting.
"It does feel like the clouds are starting to lift," said Brown. "It's an exciting time to be here. I know that there is maybe a bit of pain to go through yet but in general things are starting to look a bit clearer."
Hearts' fate ultimately rests in the hands of finance trouble-shooters based in Lithuania.
The administrators of Ukio Bankas - the Kaunas firm who hold a 29.9 per cent stake in the Jambos but are owed £15.5million - have warned that unless FoH can come up with a suitable cash offer, they will liquidate Hearts and sell off its assets to repay some of the insolvent investment firm's £380million debts.
As well as being in the red to Ukio Bankas, another firm once controlled by former club owner Vladimir Romanov - Hearts majority shareholder UBIG - is due £8.2million, with around £5million due to a list of other companies.
But Brown is keeping his fingers crossed that a deal can be struck to save Hearts.
He said: "Obviously things have got to be accepted in Lithuania but we hope that happens.
"I don't know what is going on with that. The administrators have kept everybody informed here of every move but I don't know any more than is in the general news. We're just getting on with what we do.
"From my point of view, it's a great time to be at the club. I could be in worse places than Hearts - in fact I have been.
"We have got a young team that may be lacking a bit of experience but have a lot of spirit. They all want to play for the club.
"You saw last week against Partick Thistle, to go a goal down in the 85th minute and then to come back and get a draw out of it says everything. It shows the never-say-die attitude they have got."
Hearts bounced back from defeat in their opening Scottish Premiership match with St Johnstone to beat city rivals Hibernian and draw with Thistle.
Aberdeen visit Tynecastle on Saturday but Brown is not concerned that the supporters will get on their player's backs as they fight to stay in the top flight following their 15-point fine for breaching insolvency rules.
He said: "Obviously the results on the pitch help to keep the optimism around the club going. If you have a bad run of results, it could dampen things a wee bit. But everybody, the Hearts supporters, realise the situation we are in.
"We have a bunch of young lads and there is no point moaning at them when things go bad because we don't have any other option. But they will keep behind the team.
"We have asked the supporters for everything. I don't think asking them for a bit of patience will be a hardship. They know the situation we are in. The last people we need to worry about are the supporters. They have been behind everything that has keep the club going.
"But we have done okay. If you forget about the 15-point deduction, we'd be in the top six right now. That says a lot."