Suarez blatantly handled the ball in the penalty area before slotting past Alan Marriott to score what turned out to be the game's winning goal in a tight 2-1 win for the visitors.
The Uruguay international celebrated by kissing his wrist, a tribute to his family, but the Stags' supremo believes the action was done to goad the home supporters at Field Mill.
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|6/1||Manchester United are 6/1 with bet365 to draw 1-1 with Liverpool at Old Trafford
"I'm going to be biased but I'm watching a Premiership referee, a game between a Conference side and a Premiership side, and some of the decisions were hurtful," Radford told reporters.
"When you get a professional player like Suarez celebrating a deliberate foul then it hurts. Of course it does.
"Of course he was [gloating], it was: 'Hang on, I can get away with this.' You know, if one of my players had done that I'd be embarrassed.
"To be honest, the Liverpool directors felt embarrassed. I would have been absolutely embarrassed and the manager should be embarrassed.
"The referees have a hard time but for him to do it deliberately and then celebrate is the hardest thing to take.
"To cheat, OK, but to cheat and them celebrate cheating, that is the worst thing you can do. If you're going to cheat, then fair enough. If you're going to cheat, then cheat.
"But if you cheat then celebrate cheating, then there you go. What I will say is that, one day, cheats will never prosper."