Believe it or not, it is not unusual for a POA member to want to appeal a "satisfactory" or better performance eval. This is possible and routinely done when negative comments are placed in an evaluation.
For example: Your supervisor writes a glowing evaluation and marks every category as "satisfactory" or above but writes in the narrative that the officer has difficulty finding his/her patrol car in the parking lot. An appeal might be appropriate. Such appeals are covered by Article 41 of the MOU.
At one time, the Captain that had signed off on the negative language in the performance evaluation was also the appeal officer. As you can imagine, those appeals were less than successful. This conflict was brought to the attention of former Chief of Police Jerry Sanders who agreed to change the procedure to comply with the MOU and common sense.
Officers can now choose to appeal negative comments in an otherwise satisfactory performance evaluation before an impartial hearing officer. The offended officer can choose between an appeal officer of the rank of Captain chosen at random, his or her own Captain, or by an Assistant Chief. This will allow for more flexibility for all concerned without necessarily requiring an appeal at the Chief's level.
Another option is to simply attach a response or rebuttal to the negative comment. The Public Safety Officers' Procedural Bill of Rights allows for a response to negative material to be filed by the officer within 30 days of the officer being given notice of the negative material. At times, this is the better strategy.