Despite contact appearing to be made, Cresswell was cautioned for simulation in the penalty area before less than a minute later, he received a second yellow card for his part in what appeared to be a 50-50 tussle with Wilfried Zaha.
The left-back now faces a one-match ban but Gold has taken to Twitter to criticise the decisions made by referee Martin Atkinson.
There isn't a single person in football that believes that Aaron Cresswell should have received a red after two wrong yellows. #nonsense dg— David Gold (@davidgold) 17 October 2016
West Ham are next in action when they host Sunderland on October 22.