The Argentinian wing-back picked up his second straight red card in three games for a late tackle on Graeme Le Saux in last Wednesday's Premiership encounter.
'Tano' was then described as 'the most hated man in football' and castigated in the media on Friday.
Glenn responded: "It's the same old story. The press have their day, go OTT and they've done it this time.
"Looking back at the video it was a wreckless challenge on the back of a sending off that shouldn't have been a sending off at Old Trafford.
"Everyone could see that it was outside the area and that Ledley King was getting back.
"So that was unjust and I felt that the tackle on Graeme Le Saux was wreckless but only a tad miss-timed.
"No-one can tell me that Tano went over the top of the ball or that it was a terrible tackle.
"The circumstances got him sent off after the Sunday and it was a silly thing to do, a silly challenge to put in but it didn't warrant a straight red.
"I'm not saying that there haven't been times this season that he's done some silly things and he admits that but the two sendings off, in my eyes, have not been warranted. The press have gone OTT on it."
Glenn Hoddle has described the reaction to Mauricio Taricco's red card at Chelsea as 'over the top'.