Rangers went into administration exactly two years ago on Friday and financial issues continue to dog the Ibrox club.
McCoist knows they face more hard times as Rangers continue their post-liquidation journey from the bottom of the Scottish league.
But, with his team chasing silverware on three fronts, the Rangers boss feels there is much to smile about at the moment.
McCoist said: "Walter (Smith) went on record as saying we were going to have two or three years of really hard times.
"I would absolutely echo and agree with that but within the hard times, you'd hopefully have one or two opportunities to smile about and be happy about.
"At this moment in time, I'd probably say we have one of them. I'm loath to tempt fate but the team is still top of the league and going really well there.
"We've still only dropped two points, we've reached the Ramsdens Cup final and have reached the quarter-finals of the Scottish Cup with a home tie to look forward to.
"We're absolutely thrilled with the performances from our under-20 team as well, who have now won nine games in a row."
McCoist added: "We try to treat the good times and the bad ones roughly the same. We're not going to get too carried away just now in the same way we don't get too down in the bad times.
"But certainly, if you're a Rangers supporter, you can maybe take a wee step back, look back at the overall picture and be fairly happy at the moment. I hope that's the case."