Lacroix had opened the scoring for Manchester United with a fantastic first-half header as Palace impressed to take control at Old Trafford.
However, the game turned when the French defender was sent off after halftime for bringing down Matheus Cunha.
Despite the initial contact starting outside the area, Lacroix was shown a red card and the home side were awarded a penalty.
Bruno Fernandes converted from the spot to equalize before picking out Benjamin Sesko winner as Manchester United made their man advantage count.
Glasner was stunned by the decision and criticized the officials for a decisive error.
Speaking to BBC Match of the Day, Glaser said: “It is decisive when you are 1-0 up and then get a penalty and have one player less.
“The foul took place outside the penalty area and the foul should be given where it starts, not where it ends. Matheus Cunha was very smart. We tried everything to score the equalizer and we found ourselves in good situations four or five times.”
“I think we played three days ago and that affects the match when you are one player down and the crowd comes back into the match and it is 1-1.”
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