Pressley was forced to make a raft of changes, Conor McLaughlin and David Ball drafted into midfield with Eggert Jonsson, Antoni Sarcevic and Jimmy Ryan all sidelined through injury.
At the back there were problems too, Joe Davis absent, Stephen Jordan drafted in as Fleetwood had a decidedly makeshift feel about them.
But Town stood up to their task admirably in the opening exchanges, even carving out a chance when Ash Hunter cut in from the right and stung the palms of Jayson Leutwiler.
Neither side had much bite about them, Shrewsbury looking strongest on the break.
And they should have grabbed the advantage when Jordan dropped the ball straight into the path of Shaun Whalley, his effort parried by Chris Maxwell, the rebound fired wide.
Shrewsbury gradually grew into the game, Fleetwood with plenty of possession but little bite in the final third.
Even when they did get into the Shrewsbury box the finish was lacking, David Ball blasting over from a good position just before the break.
Hunter switched to a wider role after the break and almost turned provider when Devante Cole nudged his centre over the crossbar.
But it was Shrewsbury who finished stronger, Andy Mangan used to hit a tiring Town on the break.
And Abu Ogogo should have won it - charging into a crowded box as Fleetwood failed to take control of a loose ball, his blast all power and no precision, flying wide of the upright.
The point, in the circumstances, was a welcome one - Fleetwood beyond bare bones and still in trouble at the wrong end of League One.
Pressley knows he's asking a lot of his young players but made it clear they have to wake up to the danger Town are in
"I'm disappointed," he said.
"I spoke beforehand about the need to win the game.
"I think it was there for all too see how devastated the squad is at the moment.
"We're missing a lot of players and I had to accomodate that by playing Conor McLaughlin further up the pitch.
"We had to make a number of changes, we missed four regular players.
"When you run a thin squad it's a big ask.
"We've asked a lot of our young players.
"But in reflection I must say they need to grow up quickly.
"They need to understand the importance of these games, the importance of small details, the importance of responsibility.
"At this moment in time we're fighting for our lives and it's important we all realise that.
"In chances it's a point gained, they had two or three big moments.
"In terms of territorial advatage we probably had that but didn't create enough.
"It's a lesson to our young players about the importance of real football."