Sub Edwards was shown a straight red card by referee Peter Wright less than 10 minutes after being introduced to the bad-tempered affair at the Memorial Stadium.
Ricketts disagrees with the decision to send off the 33-year-old and confirms Salop will contest the decision. The Shrews chief, whose side are 22nd after picking up a point, felt his Shrewsbury side were up against the world on a tough afternoon in front of a vociferous crowd in Bristol.
"It's never a red card. How two of their players haven't been sent off is beyond me," said Ricketts.
"(Abu) Ogogo kicks Ollie Norburn first-half, blatantly kicks him right in front of the fourth official and referee.
"If that's not a red card I don't know what is. We all saw Beckham got sent off years ago in the World Cup, this was worse.
"To compound that there was a second yellow card later on that didn't get given to number 22.
"He decides to send Dave Edwards off because he gets caught in the moment, it wasn't two-footed, wasn't a lunge, he had one leg on the ground and did a sweeping action with his leg. Because of player reaction he sends the lad off.
"Yes, I think you have to appeal when it's that unjust."