Wright wrote in The Sun: "Iâ€™m absolutely amazed Mancini has singled out goalkeeper Joe Hart.
"Mancini got stuck into Hart for an admittedly poor performance in Saturdayâ€™s 3-1 loss at Southampton.
"Iâ€™d have expected Mancini to maybe have a word in private but it was strange for him to bash a player who is still relatively young at 25.
"What the Etihad boss hopes to get out of this public caning, I simply donâ€™t know.
"Mario Balotelli got away with all sorts of things during his time at City, while Carlos Tevezâ€™s attitude towards life in Manchester has not always been great. The only thing you can accuse Hart of is being too honest in some post-match interviews.
"I find this refreshing as he clearly cares about the team. Iâ€™m sure most City fans will like the fact he doesnâ€™t like losing. Hart has been solid and saved City on plenty of other occasions and I would have expected Mancini to be a bit more understanding.
"His comments were baffling and I fear there could now be a problem between the manager and his player."