Match official Iain Brines was forced to postpone the Edinburgh club's clash with The Staggies an hour before kick-off after heavy rain had made parts of the pitch unplayable.
McGlynn said: "I think the game could have gone ahead. After we arrived we knew there was a possibility of it being called off, but I was disappointed and to some expect angry at the fact there didn't seem to be a problem here.
"Why did no-one notify us that there could be a problem? My kitman told me about it, no-one officially notified Hearts Football Club to tell us there was a problem."
He added: "Generally at this time of year you are looking at frost and snow. However, everyone knows there has been that much rain this year.
"This pitch also has history. Morton came up here three times last year. They came up on the Saturday and it was called off, they came up in midweek and it was called off. The season before that Dunfermline came up here, Saturday called off, midweek, called off."
Asked if the club would, be seeking compensation, he said: "It's up to the directors to worry about compensation, it's cost the club money, but I'm a football man and I'm disappointed we didn't get to play a game here today.
"I've got sympathy with the referee, he should have had notification there was a problem with the pitch."
With both teams out of the Scottish Cup the match looks likely to be rescheduled for a free Saturday in February or March.
Looking ahead to next year McGlynn said: "It's to get through the financial difficulties, hopefully there are better days ahead.
"We've got a semi-final of a cup to look forward to at the end of January so we've got an opportunity to get back to Hampden for another cup final, which is a big positive for us. We will also be looking to finish the season as high up the league table as we can."
Reflecting on a "year of two halves" for the club, he added: "The end of last season it was the best it could be, winning the Scottish Cup final against Hibs 5-1 - we have great memories of that day.
"But then we came very close to going into administration, difficult times. But everyone has really rallied round, battled and raised money, put charity events on and over £1m of shares sold. We'll get through this and hopefully be stronger in the long run."